[Cerrado] Reraise AQ?

Hand converted with online PokerStrategy.com hand converter:

Reproducir mano

$0.02/$0.05 No-Limit Hold'em (9 handed)

Known players:
[tg]UTG2$16.66:///////;MP1$11.37:///////;MP2$9.40:///////;MP3$5.31:///////;CO$5.00:///////;BU$0.93:///////;SB$1.00:///////;BB(Hero)$5.28:///////;[/tg]

Preflop: Hero is BB with Q:h, A:h.
2 folds, MP2 raises to $0.20, 2 folds, BU raises to $0.93(All-In), SB folds, Hero calls $0.88, MP2 raises to $3.80, Hero folds.

Flop: ($5.88) 9:c, 2:c, 4:d (3 players)

Turn: ($5.88) 3:s (3 players)

River: ($5.88) A:d (3 players)

Final Pot: $5.88.

Deberia haber ido despues de haber invertido 1 dolar? . Mi opinion es que no que opinais?