See if you can find out their history... were they returns, failed during warranty, power supply reversed etc.
Then, since you're obviously inside already... connect the external supply, and chase the +v to see if it gets into the main board...
SMT fuses, protection diodes... etc
If you don't know what these look like, then try posting some high quality images of the board - and if that fails possibly calling GoPro for an RMA number.