So I opened her up, and it looks like both of the battery wires have come loose from the PCB. Shouldn't be a big deal to solder them back on there. Only problem is, I'm not sure exactly where they go (and I'm not enough of an electronics wiz to suss it out just by staring at the board).
Here's a picture of the entire board in question:

And here's a close up of where I think they might go (black wire to pad marked "BK BAT", and red wire to pad marked "BAT R", maybe?):

Any help is much appreciated.


