Bottom two pair vs flop push

[CaptVimes]

Had been playing with this guy for about 40 minutes, he had just got stacked and reloaded, and was generally playing pretty poorly. Almost never folded preflop if he could limp in. Am I beat here most of the time?

Poker Stars.
No Limit Holdem Ring game
Blinds: $0.01/$0.02
8 players
Converter

Stack sizes:
UTG: $5.26
UTG+1: $1.76
MP1: $4.91
MP2: $2.46
CO: $4.88
Button: $5.64
Hero: $2.69
BB: $7.36

Pre-flop: (8 players) Hero is SB with 5[img]/images/graemlins/club.gif[/img] 4[img]/images/graemlins/spade.gif[/img]
UTG folds, UTG+1 calls, MP1 folds, MP2 calls, CO folds, Button calls, Hero calls, BB checks.

Flop: J[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/diamond.gif[/img] ($0.1, 5 players)
<font color="#cc0000">Hero bets $0.12</font>, 2 folds, <font color="#cc0000">MP2 raises all-in $2.44,</font> Hero?