How do you read this stop n go?

[parttimepro]

Party Poker Pot-Limit Hold'em, $ BB (9 handed) converter

MP3 ($472.9)
CO ($610.4)
Hero ($428)
SB ($249)
BB ($391.9)
UTG ($254.4)
UTG+1 ($357)
MP1 ($381)
MP2 ($468)

Preflop: Hero is Button with A[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/diamond.gif[/img]. SB posts a blind of $2.
UTG calls $4, <font color="#666666">1 fold</font>, MP1 calls $4, <font color="#666666">2 folds</font>, <font color="#CC3333">Hero raises to $20</font>, SB (poster) calls $18, <font color="#666666">1 fold</font>, UTG calls $16, MP1 calls $16.

Flop: ($84) 4[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, UTG checks, <font color="#CC3333">MP1 bets $55</font>, <font color="#CC3333">Hero raises to $110</font>, SB folds, UTG folds, MP1 calls $55.

I know people don't like min raises generally, but here's what I was thinking. MP1 may do this as a semi-bluff with spades or a flush + straight draw. There may be other draws out there that I want to push out. I figure if I minraise and MP1 just calls, he's probably on a draw rather than a set. It also shows strength, so I'm not likely to be bluffed out on later streets.

Turn: ($304) 6[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">MP1 bets $120</font>, Hero folds.

WTF? I have a pretty hard time putting him on a hand I beat, unless he's firing a second barrel with a draw or AXs after I raised his first bet. This seems unlikely as some reasonable % of the time I'll hold AJ, AA, JJ here. Does anybody think I could be ahead here? 44, AJ, A4s, slow-played pf AK or JJ all beat me.

Other suggestions on my line?