<?xml version="1.0" encoding="us-ascii"?><InstanceReport xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><Version>2.4.0.8</Version><ReportLongName>113 - Disclosure - UNIT OPTIONS AND EQUITY INCENTIVE PLAN</ReportLongName><DisplayLabelColumn>true</DisplayLabelColumn><ShowElementNames>false</ShowElementNames><RoundingOption /><HasEmbeddedReports>false</HasEmbeddedReports><Columns><Column FlagID="0"><Id>1</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

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</LabelSeparator><Level>1</Level><ElementName>engy_SharebasedCompensationArrangementsByShareBasedPaymentAwardAbstract</ElementName><ElementPrefix>engy_</ElementPrefix><IsBaseElement>false</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText /><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>xbrli:stringItemType</ElementDataType><SimpleDataType>string</SimpleDataType><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>Sharebased Compensation Arrangements By Share Based Payment Award [Abstract]</Label></Row><Row FlagID="0"><Id>2</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

</LabelSeparator><Level>2</Level><ElementName>engy_ShareBasedCompensationArrangementsByShareBasedPaymentAwardTextBlock</ElementName><ElementPrefix>engy_</ElementPrefix><IsBaseElement>false</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><PreferredLabelRole>terseLabel</PreferredLabelRole><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="P01_01_2013To06_30_2013" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText>              &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;MARGIN: 0pt 0px; FONT: 10pt Times New Roman, Times, Serif "&gt;  &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-ALIGN: justify; MARGIN: 0pt 0px; FONT: 10pt Times New Roman, Times, Serif"&gt;  &lt;b&gt;NOTE F &amp;#150; UNIT OPTIONS AND EQUITY INCENTIVE PLAN&lt;/b&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt"&gt;&lt;font  size="2"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-ALIGN: justify; MARGIN: 0pt 0px 0pt 0.25in; FONT: 10pt Times New Roman, Times, Serif"&gt;  The Partnership has no employees and is managed by its General  Partner.&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt"&gt;&lt;font  size="2"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-ALIGN: justify; MARGIN: 0pt 0px 0pt 0.25in; FONT: 10pt Times New Roman, Times, Serif"&gt;  The Partnership may issue options, warrants, rights or appreciation  rights with respect to Common Units for any Partnership purpose,  including to non-employees for goods and services and to acquire or  extend debt, without approval of the Limited Partners. The  Partnership applies the provisions of ASC 505 to account for such  transactions. ASC 505 requires that such transactions be accounted  for at fair value. If the fair value of the goods and services or  debt related transactions are not readily measurable, the fair  value of the options, warrants, rights or appreciation rights is  used to account for such transactions. Central did not record any  unit-based payment costs for non-employees for the three months and  six months ended June 30, 2012 and 2013 under the fair-value  provisions of ASC 505.&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt"&gt;&lt;font  size="2"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-ALIGN: justify; MARGIN: 0pt 0px 0pt 0.25in; FONT: 10pt Times New Roman, Times, Serif"&gt;  The Partnership applies ASC 718 for options and/or Common Units  granted to employees and directors of the General Partner. During  the quarter ended March 31, 2006, Central adopted the provisions of  ASC 718 for unit-based payments to employees using the modified  prospective application transition method. Under this method,  previously reported amounts should not be restated to reflect the  provisions of ASC 718. ASC 718 requires measurement of all employee  unit-based payment awards using a fair-value method and recording  of such expense in the consolidated financial statements over the  requisite service period. The fair value concepts have not changed  significantly in ASC 718; however, in adopting this standard,  companies must choose among alternative valuation models and  amortization assumptions. After assessing alternative valuation  models and amortization assumptions, Central will continue using  both the Black-Scholes valuation model and straight-line  amortization of compensation expense over the requisite service  period for each separately vesting portion of the grant. Central  will reconsider use of this model if additional information becomes  available in the future that indicates another model would be more  appropriate, or if grants issued in future periods have  characteristics that cannot be reasonably estimated using this  model.&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt"&gt;&lt;font  size="2"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-ALIGN: justify; MARGIN: 0pt 0px 0pt 0.25in; FONT: 10pt Times New Roman, Times, Serif"&gt;  As described below on March 20, 2013, the Partnership agreed to  issue a grant of &lt;font style=" FONT-SIZE: 10pt"&gt;200,000&lt;/font&gt;  Common Units to an executive officer of the General Partner which  will fully vest upon issuance. The Partnership recorded unit-based  compensation of $&lt;font style=" FONT-SIZE: 10pt"&gt;16,000&lt;/font&gt;  during the six months ended June 30, 2013 in connection with the  issuance of the 200,000 Common Units. Central did not record any  unit-based compensation for employees for the three months and six  months ended June 30, 2012 under the fair-value provisions of ASC  718.&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt"&gt;&lt;font  size="2"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-INDENT: 0.25in; MARGIN: 0pt 0px; FONT: 10pt Times New Roman, Times, Serif"&gt;  &lt;b&gt;Equity Incentive Plan&lt;/b&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt"&gt;&lt;font  size="2"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-ALIGN: justify; MARGIN: 0pt 0px 0pt 0.25in; FONT: 10pt Times New Roman, Times, Serif"&gt;  On March 9, 2005, the Board of Directors of the General Partner  (&amp;#8220;&lt;u&gt;Board&lt;/u&gt;&amp;#8221;) approved the 2005 Equity Incentive  Plan (&amp;#8220;&lt;u&gt;2005 Plan&lt;/u&gt;&amp;#8221;). The 2005 Plan permits the  grant of common unit options, common unit appreciation rights,  restricted Common Units and phantom Common Units to any person who  is an employee (including to any executive officer) or consultant  of Central or the General Partner or any affiliate of Central or  the General Partner. The 2005 Plan provides that each outside  director of the General Partner shall be granted a common unit  option once each fiscal year for not more than &lt;font style=" FONT-SIZE: 10pt"&gt;5,000&lt;/font&gt; Common Units, in an equal amount as  determined by the Board of Directors. The aggregate number of  Common Units authorized for issuance as awards under the 2005 Plan  is &lt;font style=" FONT-SIZE: 10pt"&gt;750,000&lt;/font&gt;. The 2005 Plan  remains available for the grant of awards until &lt;font style=" FONT-SIZE: 10pt"&gt;March 9, 2015&lt;/font&gt;, or such earlier date as  the Board of Directors may determine. The 2005 Plan is administered  by the Compensation Committee of the Board of Directors. In  addition, the Board of Directors may exercise any authority  delegated to the Compensation Committee under the 2005 Plan. Under  the terms of the Partnership Agreement and the then applicable  rules of the NASDAQ National Market, no approval of the 2005 Plan  by the Unitholders of the Partnership was required.&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt"&gt;&lt;font  size="2"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-ALIGN: justify; MARGIN: 0pt 0px 0pt 0.25in; FONT: 10pt Times New Roman, Times, Serif"&gt;  On March 20, 2013, the Board of Directors of the General Partner  (&amp;#8220;&lt;u&gt;Board&lt;/u&gt;&amp;#8221;), approved the entering into an  employment agreement (&amp;#8220;&lt;u&gt;Agreement&lt;/u&gt;&amp;#8221;) with Mr. Ian  T. Bothwell, Executive Vice President, Chief Financial Officer and  Secretary of the General Partner and President of Regional  (&amp;#8220;&lt;u&gt;Executive&lt;/u&gt;&amp;#8221;) (see Note J&amp;#150; Commitments and  Contingencies &amp;#150; Employment Agreement). Under the terms of the  Agreement, the Executive was granted 200,000 Common Units of the  Partnership under the 2005 Plan which vested immediately upon such  grant as set forth in a separate Unit Grant Agreement between the  Executive and the General Partner.&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt"&gt;&lt;font  size="2"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-ALIGN: justify; MARGIN: 0pt 0px 0pt 0.25in; FONT: 10pt Times New Roman, Times, Serif"&gt;  In addition to any grants of Common Units or other securities of  the Partnership as the Compensation Committee of the Board may  determine from time to time pursuant to one or more of the General  Partner&amp;#8217;s benefit plans, the General Partner shall provide to  the Executive one or more future grants of Common Units equal to  the number of Common Units determined by dividing (1) one and  one-half percent (1.5%) of the gross amount paid for each of the  next one or more acquisitions completed by the Partnership and/or  an affiliate of the Partnership during the term of the Agreement,  which gross amount shall not exceed $100 million (each an  &amp;#8220;&lt;u&gt;Acquisition&lt;/u&gt;&amp;#8221;), by (2) the average value per  Common Unit assigned to the equity portion of any consideration  issued by the Partnership and/or an affiliate of the Partnership to  investors in connection with each Acquisition including any  provisions for adjustment to equity as offered to investors, if  applicable. In the event the General Partner does not extend the  Agreement after the second anniversary date thereof for any reason  other than as provided in the Agreement, the Partnership shall  issue to the Executive the number of Common Units determined by  dividing (1) the amount calculated by multiplying three-quarters of  one percent (0.75%) times the sum determined by subtracting the  gross amount paid for each of the Acquisitions completed by the  Partnership and/or an affiliate of the Partnership during the term  of the Executive&amp;#8217;s employment by the General Partner from  $100 million by (2) the average value per Common Unit assigned to  the equity portion of any consideration issued by the Partnership  and/or an Affiliate of the Partnership to investors in connection  with each Acquisition including any provisions for adjustment to  equity as offered to investors, if applicable. The Common Units  subject to issuance above will be issued pursuant to a Unit Grant  Agreement, which grant will be governed by the terms and conditions  of the 2005 Plan (or its successor). The right to receive the  Common Units will not terminate until fully issued in the event the  Executive is (a) terminated by the General Partner without Cause,  (b) the Executive resigns for Good Reason, (c) a termination  results from a Change in Control of the General Partner, or (d) a  termination results from the Death or Disability of the Executive  as more fully described in the Agreement.&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt"&gt;&lt;font  size="2"&gt;&amp;#160;&lt;/font&gt;&lt;/div&gt;    &lt;div style="clear:both; FONT-FAMILY:Times New Roman;FONT-SIZE: 10pt;TEXT-ALIGN: justify; MARGIN: 0pt 0px 0pt 0.25in; FONT: 10pt Times New Roman, Times, Serif"&gt;  At June 30, 2013, there were no options outstanding under the 2005  Plan. At June 30, 2013, approximately &lt;font style=" FONT-SIZE: 10pt"&gt;422,310&lt;/font&gt; Common Units remain available for  issuance under the 2005 Plan.&lt;/div&gt;  &lt;/div&gt;        </NonNumbericText><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>nonnum:textBlockItemType</ElementDataType><SimpleDataType>na</SimpleDataType><ElementDefenition>Share-based Compensation Arrangements by Share-based Payment Award [Text Block]</ElementDefenition><ElementReferences>No definition available.</ElementReferences><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>UNIT OPTIONS AND EQUITY INCENTIVE PLAN</Label></Row></Rows><Footnotes /><IsEquityReport>false</IsEquityReport><ReportName>UNIT OPTIONS AND EQUITY INCENTIVE PLAN</ReportName><MonetaryRoundingLevel>UnKnown</MonetaryRoundingLevel><SharesRoundingLevel>UnKnown</SharesRoundingLevel><PerShareRoundingLevel>UnKnown</PerShareRoundingLevel><ExchangeRateRoundingLevel>UnKnown</ExchangeRateRoundingLevel><HasCustomUnits>true</HasCustomUnits><IsEmbedReport>false</IsEmbedReport><IsMultiCurrency>false</IsMultiCurrency><ReportType>Sheet</ReportType><RoleURI>http://www.pennoctane.com/role/UnitOptionsAndEquityIncentivePlan</RoleURI><NumberOfCols>1</NumberOfCols><NumberOfRows>2</NumberOfRows></InstanceReport>
