Before camping in the state park, I'd suggest first "camping" a night or two in your driveway if that is at all possible. It gives you a chance to try out all the systems and practice setting things up. Just as importantly, it gives you a chance to see if there are any essential supplies you need to stock your RV with.
AAA RV service varies with where you are (AAA is not a single national organization, but a consortium of regional units, and they vary in their RV offerings). Their RV coverage where available comes at a premium over standard car coverage. Coach-net is perhaps the biggest RV roadside service provider.
My experinece with AAA on my RV has been generally positive (in Northern New England); as with any roadside assistance, how soon you get service depends on who all is available in the area that's willing to deal with your vehicle. For an RV, that can be rather limited as many tow companies only deal with cars and pickups and such, even if you don't require a tow.