i think you need to bet the flop, about 120 or so. As played, he may be betting some hands worse than yours (AK, JJ, 99, possibly any low pp but not likely). Without betting you have no idea where you stand.

after your bet, if he raises, I would probably figure i was beat and fold. If he just calls, you are also probalby beat, and I would check the turn, and likely fold to a significant bet by villain. I think there is a good chance he folds to your bet though, and I think your flop check looks weak and a lot like AK. He might think he's beat, but take one last stab at the pot since you checked.