I knew he had them, yet I call every street. When can you lay this down for sure?

PokerStars No-Limit Hold'em, $0.05 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP1 ($2.85)
MP2 ($3.75)
MP3 ($6.54)
CO ($7.50)
Button ($9.73)
SB ($5.72)
Hero ($10)
UTG ($11.68)
UTG+1 ($5.95)

Preflop: Hero is BB with Q, Q.
1 fold, UTG+1 calls $0.05, 1 fold, MP2 calls $0.05, 2 folds, Button raises to $0.5, 1 fold, Hero calls $0.45, UTG+1 folds, MP2 folds.

Flop: ($1.12) 6, 4, T (2 players)
Hero bets $1, Button raises to $2.05, Hero calls $1.05.

Turn: ($5.22) 8 (2 players)
Hero checks, Button bets $0.8, Hero calls $0.80.

River: ($6.82) 8 (2 players)
Hero checks, Button bets $2.15, Hero calls $2.15.

Final Pot: $11.12

Results in white below:
Hero has Qc Qs (two pair, queens and eights).
Button has Kd Ks (two pair, kings and eights).
Outcome: Button wins $11.12.

If you really knew he had them then you should have folded. To clarify you're beat re re raise the flop. If he calls then slow down or fold. He might even push to a re re raise. Watch the HORSE final table from the 2006 WSOP. See how Doyle lays down the QQs to the same play by Chip Resse. Awesome!!!!

preflop..

PUMP OR DUMP!

In a $5 game, if I'm not all in preflop, I am on the flop. They play AJ like AA on every street. But generally, you played it well. I don't see any spots where you can lay this down as the hand played out.