pocket 9's in late stages of live WSOP satellite

[Mr_Beeker]

This is my first post so go ahead and flame away I would like some opinions on a hand I played last night at the WSOP satellite at Treasure Island in Minnesota.

The tournament situation is 50 players are remaining with top 11 getting paid. 1st place is the 10K seat to the main event + 20K in cash. 11th place is 1K.

Table Situation: Blinds are 100/200 with an ante of 25. I'm in position 4 on the table, with 1800 in chips. Big stack at the table is under the gun, with 5000 in chips. He has been playing aggressive and limping a lot. 2nd in chips is on the button with 3500 in chips. He has been playing solid. The rest of the table is short stacked. I think my image is tight aggressive, but I had recently doubled up 6 hands earlier when my A9s won against AJ.

The hand in question: UTG limps (which has been common), I look down to see pocket 9's. I raise it to 1000. My thinking at this point is that the blinds are headed my way, and I will quickly be all in with lesser hands. Getting in a race here is not a bad thing and I'm hoping to isolate against UTG. Folds all around to the button, who insta moves all in for 3500. Everyone folds to me, and I'm most likely up against AA, KK or QQ.

Questions for you: Was the initial raise to 1K an overbet? Would 3x or 4x have kept me from being committed to the hand?Would All-in have been better a better move at this stage? Does a fold with 800 chips remaining make any sense here, if I know that I'm a 4 to 1 dog?

Thanks for your help!