Would it be inappropriate to post these pictures on facebook?

This guy and I have had a thing for a while...we have been dating but it isn't "official." We both tell each other that we like and care for each other a lot, but we are going off to college once summer ends so we're keeping it low key. Last night we were at a party and he told people that we are "kind of in a relationship..." and that he doesn't hook up with other girls because he has the only girl he wants. Given he was pretty drunk... We hold hands in public and we haven't done anything more than kiss yet. We went to 6 flags a few days ago and I have some pictures of us holding hands on a ride, would it be ok to post these on facebook?