Looking at the photo - It appears as if the explosion occurred on the right side of the little black box, relay K2 in your photo (just to the left of your red circle)
ALSO - Look on top of K2 - it appears as if there is corrosion there. (that green fuzzy looking stuff)
If you are handy with a soldering iron, it may be possible to remove that board, clean it up, find out what blow up, and repair it. But it appears as if your control board is bad.
Google "Dometic RM 2351 Control Board"
I think Dinosaur sells a replacement board - double check this number for your frig (dinosaur board 3850415.01)
ALSO - If your into this, you may also want to look at replacement thermistor kit. This is also a common failure item and an easy fix.
2001 Coachmen Mirada (Ford F53 6.8L V10) - Toad 2003 Saturn Vue
It won't do MACH 2, but I can get a sandwich and take a pee.