Middle pair out of big blind against button limp

[TheJackal]

Pstars 45k guarantee, this guy just got moved to the table, so I have no idea what type of a player he is. This is after the money, probably 120 players or so left.

PokerStars No-Limit Hold'em Tourney, Big Blind is t4000 (8 handed) converter

UTG+1 (t122522)
MP1 (t48709)
MP2 (t25373)
CO (t34983)
Button (t187265)
SB (t65586)
Hero (t66458)
UTG (t56040)

Preflop: Hero is BB with J[img]/images/graemlins/club.gif[/img], 4[img]/images/graemlins/spade.gif[/img].
<font color="#666666">5 folds</font>, Button calls t4000, <font color="#666666">1 fold</font>, Hero checks.

Flop: (t9400) 5[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets t8000</font>, Button calls t8000.

Turn: (t25400) 5[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>

Final Pot: t25400

Hero bets 11k on turn and is mini-raised. What do you do from here getting 5:1 on your call?

On a side note: I was steaming a bit after losing a 120k pot when the big blind moved in and I called on the button with AK, he had T7 and spiked a 7 on the river. I was speeding a bit (but the button wasn't there for that hand). Patience and steam control are two things I need to work on.