You should be reraising a lot more then 2.5x preflop when its multiway, and you should definately be reraising. You want to play QQ HU not vs 5 players.

You need to bet more on the flop. 2/3rds is pretty good.

When he calls the flop and pushes the turn its VERY difficult to be ahead here. All you're really beating is someone donking with a 10 and maybe Ah10d or something like that, as well as bluffs.

You can feel relatively the same about KK and AA in this spot, I just dont think any one pair is good here too often. But if you got a instinctual read on it, call him or fold based on that.