Connect to charger it charges, I take the battery out quick and it powers on normally, when it has booted up, I insert the battery back and it continues working normally.
But I don't turn it off so often, when it's low on battery, recharge, never let it dry out so it shuts down.
You should try CM7 or CM9 on GB baseband, they all have option to wake the phone using volume buttons. I think that GO Locker has that option too, but in that case you need to use GO Launcher as well. For putting phone to sleep search for Screen Off and Lock on Play. Good luck!
P.S. I haven't seen any flashable zips for GB roms, only for ICS.
Edited by Buffalo Soldier, 25 March 2013 - 08:48 PM.