[jfk]

Hand 1: I'd be inclined to bet the river. There are too many hands which he may elect not to pay off if you check raise and too many hands which he may elect to check behind (like QQ or JJ).

Being that he had position on you and is repping at least a K, just calling the flop three bet is fine once the HJ mucks but I'd not be critical of a cap. This is a situational/meta game consideration.

The river check raise is perfect in the second hand. I disagree with Dave F. about the fold. I would tend to just smooth call here with Axo. The $5 rake is a strong consideration, but the two chip small blind prices you in. I don't like to raise as very few in that game are going to fold a BB getting 5 to 1 and I hate playing Ax OOP against aggressive opponents.

Also, I'm curious to know why you think the button limp in the second hand is a sure fire sign of weakness. I very suspicious when an aggressive player who should know better limps on the button.