occasionally I re-raise and sometimes I just call PF. Just to alter my play. Flop bet is mandatory IMO. Turn is a lot harder. With reads this would naturally be easier but now.. ugh. I think I would also check but that doesnt really give you any info. He could be betting with anything here.. To find out how much he really likes his hand I would perhaps bet 2/3 of the pot or so. If he still calls I would play the river really carefully. If he re-raises you big I wouldnt take my chanses here and would fold..
But I have to say I really have doubts about the small, under 1/3 pot turn bet of his, that doesnt really make sense to anything else but for KQ=straight.. or it is just a weak attempt to steal.