Battery drain on Galaxy Note-I after updating to Jelly Bean
I used to own that same device and in my experience with several ROMs the best way to get a battery to not drain quickly was to switch to a AOSP rom like Slimkat/Slimsaber and to use adaptive brightness. The screen being 5"+ used to use a huge amount of battery.
The stock Samsung ROMs are good but the AOSP ROMs make it a lot better in terms of battery usage.