Post flop I play it the same way as you.

Pre-flop we should 3bet. KQo never play wells 3-way and we're going to get dominated very often by AQ/AK on Kxx/Qxx flops.

I agree with Harvie, I strongly discourage people to flat hands like this from the blinds. A squeeze could be a fine play in this situation but i honestly don't even mind a fold pre, allthough it's slightly weak. Playing offsuit broadways out of position without the initiative is just a nightmare postflop and a situation i'd rather avoid.

I think our postflop line is fine, nothing to comment on there

As played looks great but calling multi way oop with KQ os is not ideal. You would be better off using this as a squeeze spot. We are just often too dominated postflop and will just check fold so often. Take the initiative!

Yup, good spot to squeeze. Doesn't play too well multi-way unless it is suited.

Flop, could consider leading here since it's multi-way and there is a possible flush-draw. Usually the best play, at least from an exploitative point of view.

Turn would be a x/c as played, but he checks back.

Important that we lead the river for value since players are extremely unlikely to take a bet/check/bet line as a bluff frequently, so he'll usually just check back hands that can call a value-bet, and bet if he has us beat. So x/c can be dicey given the average population tendencies.