First hand of the match villain 3 bet large with k7o and snap called my jam with AQo. This leads me to believe he likes to call light.

Villain has been doing this 29% of the time. This small 3 bet.

I'm not sure if it's best to bet when he checks to me. I'm not really how best to interpret this action. Should I check back my K for showdown value?

Now when he bets turn small he probably is trying to bet for protection/value with some sort of non top pair hand he checked back on the flop? I call with my pair and gutshot.

He leads river strong here so maybe he had a big hand after all. Overpairs and maybe two pairs that he tried to slowplay. Does he have enough hands in his range that will call to make a reraise worth the risk of the fact that sometimes I will value town myself and shove and get called by worse. I am considering a strong move because I think since he called so quick with K7 all in preflop I think he could potentially call with a fair amount of worse hands here. But, maybe this is too optimistic.