The door is a pain to find! One from a truck camper might work. I ended up building one from a household plywood interior door cut down to size , I then laminated white Formica inside and out. Installed the original aluminum trim and replace the latch with a Fastec lock and sold the old one on ebay for $120 (Bargmann L400's are rare and worth a far bit).
As far as the fridge
, if it works on gas then you should be able to get it working on AC and DC fairly easily. If worst case find a dead one and grab what you need. There was a great trouleshooting page but the link is dead
I will see if I can find the info. There are a lot of manuals for dometic in the document center. The best bet for replacing these small fridges are ones from a tent trailer. Find someone gutting one due to moldy canvas and you can probably get one for less that $50.