I rescued a rabbit once. Saw it in the middle of traffic about to get hit. It was a beautiful animal, obviously domesticated and very friendly, loving. It had clean little paws and couldn't have run far from home.
I spent two hours walking the neighborhood trying to find it's home. Posted found rabbit fliers with my daughter the next day. Called the local no-kill shelter, which doesn't take rabbits, and posted a found rabbit on their website.
I kept that little critter for a month, trying to teach it to not shit all over my house, hoping someone would claim it. I finally found it a good home, from which it ran away shortly thereafter.
I think it just wanted to be free.