Early in $55 w/AK in EP - misery...

Hey guys, can you tell me how I played this one? Be brutal - heh...

Here are my reads: S is a loosey goosey guy who calls lots of bets, especially now that he's chip leader, P had been picking up his aggression level, since he lost a big hand that put him low on chips, and I don't have that great a read on M. I figure I've got S beat, a possible domination or coinflip situation with P, and I guess my thinking was that I'm a coinflip with M. I saw the size of the pot and thought my AK was worth pushing. Tell me what you think... Results are in white at the bottom.

Thanks!

The Funky Monkey

#Game No :
***** Hand History for Game *****
NL Texas Hold'em $50 Buy-in + $5 Entry Fee Trny: Level:3 Blinds(25/50)
Table Table (Real Money)
Seat 10 is the button
Total number of players : 8
Seat 6: Hero ( $935 )
Seat 9: S ( $3035 )
Seat 1: M ( $1100 )
Seat 4: ( $1005 )
Seat 7: ( $945 )
Seat 8: ( $1045 )
Seat 2: ( $1405 )
Seat 10: P ( $530 )
Trny:15803741 Level:3
Blinds(25/50)
** Dealing down cards **
Dealt to Hero [ Ah Kc ]
1 fold.
Hero raises [150].
2 did not respond in time.
2 folds.
3 folds.
S calls [150].
P calls [150].
M raises [875].
4 folds.
Hero is all-In [785]
S folds.
P is all-In [380]
M calls [35].

<font color="white">** Dealing Flop ** [ 6s, 8s, Th ]
** Dealing Turn ** [ 7c ]
** Dealing River ** [ 8d ]
M shows [ Ac, Ad ] two pairs, aces and eights.
Hero shows [ Ah, Kc ] a pair of eights.
P shows [ Jc, Js ] two pairs, jacks and eights.
M wins 810 chips from side pot #1 with two pairs, aces and eights.
M wins 1790 chips from the main pot with two pairs, aces and eights.
P finished in eighth place.
Hero finished in seventh place. </font>