Too fast with set?

[H20]

Villain is lag, is the pot big enough here that I should protect against backdoor draws and raise the flop?

Poker Room skin
Limit Holdem Ring game
Limit: $5/$10
8 players
Converter

Pre-flop: (8 players) Hero is CO with 7[img]/images/graemlins/spade.gif[/img] 7[img]/images/graemlins/diamond.gif[/img]
UTG calls, UTG+1 folds, <font color="#cc0000">MP1 raises</font>, MP2 calls, Hero calls, Button calls, SB folds, BB calls, UTG calls.

Flop: J[img]/images/graemlins/diamond.gif[/img] 7[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/heart.gif[/img] (12.5SB, 6 players)
BB checks, UTG checks, MP1 checks, <font color="#cc0000">MP2 bets</font>, <font color="#cc0000">Hero raises</font>, 4 folds, MP2 calls.

Turn: 8[img]/images/graemlins/diamond.gif[/img] (8.25BB, 2 players)
MP2 checks, <font color="#cc0000">Hero bets</font>, <font color="#cc0000">MP2 raises all-in $12.5</font>, Hero calls.

River: 2[img]/images/graemlins/spade.gif[/img] (10.75BB, 1 player + 1 all-in - Main pot: 10.75BB)


Results:
Final pot: 10.75BB