It’s very unlikely that the rabbit has rabies, in fact the CDC claims that almost never has a case of rabies been transmitted to a human from a rabbit. The main thing you have to worry about with outdoor rabbits is tularemia. But, with a rabbit housed in a hutch, even that it not likely. If he was “wild” that would be different, and I would say you should be more cautious depending on the area you live in and the prevalence of tularemia in the wild population. (tularemia is transmitted through blood or contact with flesh though, so unless the rabbit had been badly injured and bleeding, you probably wouldn’t contract it anyway).
Rabbits don’t like to be held. And chances are, if he was housed outdoors he didn’t get a lot of human interaction. He will need a lot of time and patience to learn to trust you. Spend time on the floor with him, just staying still and letting him explore. Don’t try to touch him every chance you get- that won’t help you in gaining his trust. Feed veggies/pellets/treats by hand to get him to realize that you are not a threat.
You can’t really “make him less skittish”. Since he was an outdoor bun, he may just always have some degree of skittish behavior. And some buns are just like that. I have 2 buns, 1 of them is very sweet but can be quite skittish, the other is very sweet and he isn’t scared of anything lol