Pre is alright given BB is a shorter stack. Flop raising is probably ok but don't think you have a ton of fold equity when a likely weaker player is betting into 3 people so would just prefer call. As played, you've got to calculate your odds (8 clean outs) but also bear in mind that one of them could also be doing this with a worse FD so it's not exact. Also your overcards are very occasionally live too. Getting this price it's probably going to be a call but high variance

Pre is fine, since it's good to play suited aces in multi-way pots. Given that BB is a fish (broken stack), I'd be more incline to just call and play this combo in a high SPR multi-way pot.

As played, seems close but you are drawing to the nuts with a good pot odds. If I'm not wrong you have around 29% of pot odds and then you just need something above 29% to win in the long run.
But I'd recommend to just call flop since most of players are playing really straight-foward in multi-way pots.

I think it's a mistake to raise the flop. In a multiway pot the chance that one of your opponents have a strong hand goes up, and thus your fold equity goes down. At the same time, you force hands to fold that your hand does well against (lower flush draws, single pairs, straight draws). A better draw to raise this flop with, would be 56s, which benefits more from one-pair type hands folding, and does better against the hands that would call (2 pairs and sets).

I like your perspective.
Thanks.