How should this AK have been played

First post in the hh forum. Was playing the $1,000 freeroll on Bodog. Obviously I am shortstacked by a lot. So , should I have just pushed right from the start?

Rip it apart. Tell me what I did wrong. Tell me what I did right...if anything.

(I am lizardcakes)

Bodog: no limit hold-em tournament blinds: 100/200


seat 1: runoz2 (5865)
seat 2: lizardcakes (2400.00)
seat 3: godzilla069 (2740.00)
seat 4: nascar100 (10,405.00
seat 5: lehman18 (5310.00)
seat 6: charv712(15,430.00)
seat 7: cjnova (5547.00)
seat 8: lehigh (16,480.00)
seat 9: bulldogs2 (9,630.00)


lizardcakes posts small blind 100. godzilla posts bb 200.
button is seat number 1.

cards dealt to lizardcakes Kc As

nascar100 folds
lehman18 calls 200
charv712 folds
cjnova folds
lehigh folds
bulldogs16 folds
runoz2 folds
lizardcakes raises to 300
godzilla069 calls 300
lehman18 raises 1200.00
lizardcakes all-in
godzilla069 all-in
lehman calls

showdown cards:

lizardcakes: K A
godzilla069: Q J
lehman18: QQ

cards dealt to table 7 10 9 2 8
godzilla069 showcard : Q J 10 9 8 -straight

lehman18 showcard: Q Q 10 9 8 - pair

lizardcakes showcard: A K 10 9 8- high card

Next time don't show the results, it can mess with hand analysis.

Raise with strength, 4-5x BB with a limper already in the pot. As played this is a clear shove after the 3bet.

raise to 900-ish pre-flop or limp. Min-raise achieves nothing. Limping in and concealing the strength of your hand is kinda cool here, but dangerous. A decent raise tells you a lot more about what the others are holding - plus you still have room to fold if someone pushes and it will keep out hands like qj.
As played, i sometimes push-sometimes fold. You got in with about 50-50, and you were going to be very short otherwise - so push is fine.