it'd be my first choice for repair...simplest and easiest. the next is to check the fuses near the battery connection, then the power ic on the board. hopefully the charger just burned out the dock fuses.. I'd also try reseating the power flex.

if you've got a spare rear case I'd also try swapping the boards, then you'll know which direction to take.. ie if no problem in working case then swap dock/check power flex. if still same problem then it's on the board.