200NL - overpair vs min raise on flop ?

[Antoine]

1st hand of the table I played.

Full Tilt No-Limit Hold'em, $2 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP ($670.70)
Hero ($197)
SB ($223.70)
BB ($178)
UTG ($82.75)

Preflop: Hero is Button with J, J.
UTG calls $2, MP calls $2, [color=#CC3333]Hero raises to $11</font>, [color=#666666]2 folds</font>, UTG folds, MP calls $9.

Flop: ($27) 3, 5, 4 [color=#0000FF](2 players)</font>
MP checks, [color=#CC3333]Hero bets $20</font>, [color=#CC3333]MP raises to $40</font>, [color=#CC3333]Hero raises to $120</font>, [color=#CC3333]MP raises to $699.7 (All-In)</font>, Hero calls $86 (All-In).

Turn: ($932.70) 6 [color=#0000FF](2 players, 2 all-in)</font>

River: ($932.70) 9 [color=#0000FF](2 players, 2 all-in)</font>

Final Pot: $932.70