When he checked this flop, I felt he didn't hit it. Only a fool would start pushing an overpair after that turn and someone betting. A min raise gone wrong for this guy. Comments?

Party Poker No-Limit Hold'em, $0.5 BB (9 handed)

MP2 ($73.99)
MP3 ($50)
CO ($64)
Button ($54.3)
SB ($62.05)
BB ($21.5)
UTG ($100.55)
UTG+1 ($25.45)
Hero ($51.7)

Preflop: Hero is MP1 with , .
1 fold, UTG+1 calls $0.50, Hero calls $0.50, 1 fold, MP3 raises to $1, 1 fold, Button raises to $1.5, 2 folds, UTG+1 calls $1, Hero calls $1, MP3 calls $0.50.

Flop: ($6.75) , , (4 players)
UTG+1 checks, Hero checks, MP3 checks, Button checks.

Turn: ($6.75) (4 players)
UTG+1 checks, Hero bets $3, MP3 folds, Button raises to $6, UTG+1 folds, Hero calls $3.

River: ($18.75) (2 players)
Hero checks, Button bets $10, Hero calls $10.

Final Pot: $38.75

Results in white below:
Hero has 4h 4c (two pair, fives and fours).
Button has Ad Td (two pair, fives and twos).
Outcome: Hero wins $38.75.