i would like to 3b here preflop. But if its going multiway is not that bad with AQs.

The flop play is good. To bad u did not follow ur plan on the turn. I should just call the turn and play rivers, for more reasons. About a raising range on the turn prob 2pair + but it depends.

3 betting preflop probably depends a little bit on the players involved but I'd say that as a standard you should 3 bet here. On the turn, just call. You have a great bluffcatcher as well as a nut draw to go with it. By raising, you're going to make your opponent fold draws that you have dominated and most of his worse value hands.

agree to everything on the above :)

pre u can play a mix, with the rake environment ur very incentivizes you to put a lot of money in preflop far ahead of a calling range before u pay rake.
flop u probably make more money with a raise exploit, but both options are obviously fine, though it is a high frequency checking board for OOP and his is likely over-cbetting it, and raising this combo is going to be a good strategy vs people who are choosing to cbet too aggressively vs any decent BU cold call range.
turn as well both options seem reasonable, Theoretically and exploitatively the solutions are totally different, given it's 5nl if u had people make any decent calling errors, I assume raising turn will make slightly more money. Again that is playing our hand in a vacuum, not looking at the whole picture, and it's just higher EV if my assumptions about low stakes frequencies are correct hehe