10NL QQ in SB - UGLY PLAYS

[PinataUT]

Poker Stars, $0.05/$0.10 NL Hold'em Cash Game, 6 Players
LeggoPoker.com - Hand History Converter

Reads - Hero should have gone to bed or read hh in PT instead of playing.

BB: $4.20
UTG: $1.75
MP: $4.20
CO: $13.50
BTN: $16.90
Hero (SB): $9.45

Pre-Flop: Q Q dealt to Hero (SB)
UTG calls $0.10, MP raises to $0.50, 2 folds, Hero calls $0.45, BB calls $0.40, UTG folds

Flop: ($1.60) Q A K (3 Players)
Hero checks, BB bets $0.40, MP raises to $0.80, Hero calls $0.80, BB calls $0.40

Turn: ($4) T (3 Players)
Hero checks, BB checks, MP checks

River: ($4) 7 (3 Players)
Hero checks, BB bets $0.50, MP calls $0.50, Hero?

My thoughts on reviewing this below in blue.
<font color="blue">
1. raise PF
2. raise flop - we crush everything except JT KK AA including AK, AQ, KQ
3. as played dead to a J in someone's hand - might as well check? in for a penny (instead of a pound)...
4. dead to J or diamond draw - fold </font>