If the battery drains fast, you need find out the causes.
For these unofficial ROMs, usually, there is a community and the developers will be very glad to hear from you. So, you can check with the developers of the ROM.
Of course, you can always use the CPU Spy and BetterBatteryStats to find the possible causes. Both apps work well on Jelly Bean as I know. You may check this post: https://www.allaboutgalaxynote.com/how-to-solve-battery-issues-after-ics-update-in-your-galaxy-note/