try taking your battery out of the car and charging it. thats what we did to mine and it started right up and i havent had a problem since. i think the keys getting stuck is like a security thing if the battery is dead for so long.
This seems counter intuitive... If my battery is dead the last thing I want is my keys to be stuck in the car as it charges..
2005 GTP Grey
Custom built Open cone intake, 15% tints all the way around, 7" touchscreen DVD player