Preflop
AA should have 3-bet, and QJo should have folded.
Flop
AA is correct to call as played. QJo can either call or jam.
Turn
AA is correct to check-call as played. As played QJo should have checked behind and taken a free card. If QJo wants to take an agressive line, it should have been done on the flop, where there was still two more cards to come and therefore more
equity when called by a better made hand.
Conclusion
Both AA and QJo made a significant mistake preflop, and QJo also made a significant mistake on the turn. The flop play was fine by both.