Here's a link to their tech support manuals.
link
I'd double check your circuit board with a multimeter, just in case you need to order one of those too. If you took a surge or something there's a chance your output for the cooling unit is fried.
I think in those manuals as well there is instruction on how to swap out the peltier, but if not, I've done it and its easy enough. Just a bunch of screws really. I think its actually hard wired into the board as well, but you can either resolder it or use wire nuts / morrets to reconnect.