Is he shy or just putting on an act?

Its seems like he is very intrested. I think that you should go for it. I have a boyfriend and my boyfriend does the same stuff. So cleary he wants you for your body. But sometimes you have to look beyond it and go take a risk. I take huge risks by flirting and doin stuff and it helps alot. If he flirts with you then show him that your intrested back by flirting with him. It will all work out for you eventually like it did for me. Good Luck!!