Status update:
I switched the 2 outer wires on the connectors checked the voltage and everything seems good. I was able to solder the broken copper band on the balance board(ghetto rigged temporarily, new one on the way), plugged everything into the charger, set it on Lipo Balance and everything works great. The charger displays the voltage of both cells and they are balancing correctly.
Both battery and board stay completely cool to the touch, everything is working great.
Thanks again for everyone's help!!!