Hand 1: 6xbb is kind of a big raise. I make it 3-4xbb. I then bet the pot on the flop.

Hand 2: Preflop is fine. I bet 3/4 pot on the flop and take my free card on the turn if he calls. You wanna keep the lead in the hand.

The way you played it I jsut check behind on the river. There isn't enough money in the pot to worry about it.