Dead SMC it sounds like. If you plug in the charger and the battery does it give you an "X" for the battery when it boots into the OS?
I'd do a diode mode reading on pin 2 of both R5280 and R5281 red probe ground black probe pin 2 and see if you get a short. I would guess you will which will be either the ISL or the SMC or (as Louis showed the other day) possibly (highly unlikely) one of the caps on the back bottom left of the board.
Dead SMC it sounds like. If you plug in the charger and the battery does it give you an "X" for the battery when it boots into the OS?