Without the cold caller in the pot you might want to muck/bluff 3bet this hand pre vs. some particularly tight UTG openers but calling will be fine most of the time. I'd favor value squeeze in this spot if the cold caller was confirmed recreational player because then you can put the maximum amount of pressure on initial raiser who has to act first after your aggressive action and you're giving yourself a chance to isolate the recreational.

As for the post flop, I agree with your line especially given the 4-way pot and the fact that AK makes sense in MarkoBa's preflop range. If anything I'd go slightly higher sizing wise on both streets.

Typically the more players in the pot, the stronger a raise is. The fact that he raises after bb calls I think is a big sign of strength too. Villain can definitely have the better ace or have a variety of full houses that slowplay the flop. There's a chance that villain is just bad and overplaying a worse ace but I don't think you have enough info to assume that so I agree with the fold.

Looks like a super standard spot to squeeze preflop. Calling offsuit combos even in position will leave you in a lot of awkward spots, and as the second caller already the blinds are now getting great odds to make it a four or five way pot which is horrible for you.

Small value bet on the flop and turn looks right. Once he raises though I'd be folding. We're also a bit deep, and even if villain is overplaying worse Ax, he's almost certainly going to bomb the river where calling it off feels too loose.