Assuming villian has an ace, I'm 45% or better to win on the flop. Should I be betting that harder after the min-raise or does being OOP make just calling a better play? Do you lead the turn? As played, do you check/fold or bet/fold on a blank river?

Full Tilt No-Limit Hold'em, $2 BB (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Button ($84.80)
SB ($148)
BB ($105.40)
UTG ($55.20)
Hero ($206.70)
MP1 ($200)
MP2 ($218.85)
CO ($189.75)

Preflop: Hero is UTG+1 with K, Q.
1 fold, Hero raises to $6, MP1 calls $6, 1 fold, CO calls $6, 3 folds.

Flop: ($21) 4, J, A (3 players)
Hero bets $14, MP1 raises to $28, CO folds, Hero calls $14.

Turn: ($77) 5 (2 players)
Hero checks, MP1 checks.

River: ($77) J (2 players)
Hero bets $40, MP1 calls $40.

Final Pot: $157