Pre: Folding is out of the question IMO here, calling seems best for sure.

Flop: Perfect, doing anything but check calling is bad I feel.

Turn: I think we are just getting too good a price to fold here, I'm not in love with out hand by any stretch but I still would not be folding just yet.

River: Checking is for sure the way to go, when it goes check check I would have assumed we win but the way you phrased the question suggests we were beat. If villain is checking back QQ+ then they are pretty bad IMO. If villain had bombed river then we are in a tricky spot for sure and I would be folding to most reasonable sizings.

I'm not a fan of the cold call pre. It's not something I do much in general, pretty much AK QQ when the open and 3 bet were in late position. Here we have CO 3 betting MP making the range much stronger and we're also OOP. Arguing for a set mine might be legitimate, but with no money already invested I'm not convinced.

We have to call the flop, but already I'm worried. It's a board where he's going to check back his AK AQ most of the time.

I would fold the turn as played. His small sizing can still be QQ+ maybe now slightly concerned about you having 9x, even if he should realise you won't ever have that. I don't expect him to be barreling this turn with air almost ever.

Also not a big fan of cold calling pre unless there's a clear target in the pot already because then our heavily unbalanced range doesn't matter as much and making a small mistake preflop might be worth it given the implied odds. Against two regs I'm folding.

As played, if you decided JJ is strong enough to flat I'm not folding the turn for such a low price, but I'm also not loving life.