Picture attached. Sorry it couldn't be clearer but that's about the best I could grab. The tail looks to be close to about half the length of the body, and my wife saw a mink near the road last year on the other side of the hill from us. Hence my suspicion that it's a mink.
Regarding the door, I don't recall the manufacturer of the motor and such, but perhaps you're talking about the design? It's a simple motor with string that has stop switches. It came with the hen house (my father built it several years ago then gave it to me), but looks to be around $100 on Amazon. I did think about replacing it with the rod/piston type that I saw when browsing around but don't know much about those.