PokerStars No-Limit Hold'em, $0.05 BB (9 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

MP1 ($5.68)
MP2 ($8.39)
MP3 ($5.54)
CO ($3.57)
Button ($4.93)
SB ($10.28)
Hero (BB) ($6.83)
UTG ($4.90)
UTG+1 ($6.85)

Preflop: Hero is BB with K, K
1 fold, UTG+1 calls $0.05, 1 fold, MP2 bets $0.20, 3 folds, SB raises to $0.60, Hero raises to $6.83 (All-In), UTG+1 raises to $6.85 (All-In), 1 fold, SB calls $6.25

Flop: ($20.73) 2, 6, J (3 players, 2 all-in)

Turn: ($20.73) 9 (3 players, 2 all-in)

River: ($20.73) 8 (3 players, 2 all-in)

Total pot: $20.73 | Rake: $1

This hand is from last night. I'm not sure why I decided to just push here, but I can't see how it's the right play. Maybe a raise this big gets called here by QQ, seeing as how the one guy had AQ. But at the same time, I think some players might be able to get away from QQ here, which is obviously not good. I was almost certainly getting stacked this hand, so I'm not bothered about that. But I am bothered about how I played it in general.

I obviously have to raise, but how much? I would say I should have made it $2 or so.

Thoughts?