Typical tournament situation ~10BB stack

[punter11235]

Hello all !

Here is the situation I was in yesterday :
ParadisePoker 50k R&A. Blinds ara 300/600 middle of that level. I have about 6k and I am in middle position. Two limpers.
Now with what hands I push here ?
AA/KK for sure.
AK/QQ ?
JJ/1010 ?

Is this situation desperate enough to push with JJ-99 or it is better to wait.
I had QQ and pushed, correct ?

Best wishes!