10/20 PS 2 Tricky Overpair Situations

[Mad Genius1]

Hand 1:

Game is 3-handed. On my first hand I get dealt black Kings in the BB. Button (curzdog) opens for $100. He's loose-aggressive but overall extremely solid. SB folds and I make it $340. I've got $2k he has me well covered. Flop 953 all diamonds. I lead out for $400 and he calls. Turn is an offsuit 6. What's my play? I have 1260 and pot is 1490.

Hand 2:

Different table, 3-handed again. Again this is my first hand at the table and I get dealt JJ in the BB. Unknown button limps with $1800, SB completes and I make it $100. Button minreraises to $180, SB calls and I call. Flop is 943r, SB checks, I check, and button bets $120 into a pot of $540. What's the plan for the rest of the hand?