NLHE : QQs and reading min bets/raises

Have about 50K experience in SS limit. For all intents and purposes brand new to cash NLHE (12K hands) but really trying to learn. I read the min bets and raises here as being a sign that nobody had much of nothing. I RR on the river for value figuring I had the best hand, or to win the pot without a SD. Was this dumb?

Ultimate Bet No-Limit Hold'em, $.02 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP1 ($.88)
MP2 ($1.68)
MP3 ($1.73)
CO ($1.73)
Button ($2.03)
SB ($1.20)
BB ($1.76)
Hero ($2.13)
UTG+1 ($1.94)

Preflop: Hero is UTG with Q, Q.
Hero raises to $0.1, UTG+1 calls $0.10, MP1 calls $0.10, 6 folds.

Flop: ($0.33) T, 9, 3 (3 players)
Hero bets $0.2, UTG+1 calls $0.20, MP1 calls $0.20.

Turn: ($0.93) 7 (3 players)
Hero checks, UTG+1 bets $0.02, MP1 calls $0.02, Hero calls $0.02.

River: ($0.99) 2 (3 players)
Hero checks, UTG+1 bets $0.02, MP1 raises to $0.04, Hero raises to $0.1, UTG+1 calls $0.08, MP1 calls $0.06.

Final Pot: $1.29

The reraise on the river is good but the sizing is terrible. Your betsize only gets a tiny bit extra value when you are ahead and gives the second raiser one more chance to make a raise that will put you in a tough spot.

A larger raise to say 55c is much better and just calling wouldnt be terrible. I would probably bet the turn aswell though unless they are quite tight. High overpairs can usually be played for stacks at 2NL if the villains are just calling down.

I gotta value bet this all the way.