Where do you live? What part of TN, city or country, and so on?

I honestly don't think a raccoon would be strong enough for that. I mean, if you can't pull it off, then I would say a 'coon couldn't. However, they are pretty determined creatures...

Coons, polecats, foxes, weasels......where there's a will there's a way!

If the screws were all backed out, like you think, there's only one type animal that could have done that (except maybe a really clever monkey-which aren't common in these parts). If an animal caused this damage, I'd expect claw marks, twisted or broken hinges, and lots of splintered wood. Animals can have lots more strength than many would think, they can eat through things that we wouldn't think possible, and they can be very clever...but the damage they cause usually doesn't look as neat and clean as what I can see in your chicken coop pics. If it looks too good to be wild animal damage, it's probably not.