I agree with above that AQo is strong enough to make a raise, but it's also vulnerable enough against multiple opponents to see a free and cheap flop, which should be your default really from the blinds. This way you risk absolutely nothing when you whiff (it's not like losing out on a 180 chip pot will kill you) and you don't lose any customers when you actually hit the flop.
However, you have no reason to think you don't have the best hand right now with all them limpers, so I don't fault you for raising to pick up those chips without seeing a flop, or thin the field and get them to put in chips with a weaker hand. Your raise size screams strong but vulnerable hand, so I'm not shocked at all you got a call from the utg limper, a big stack, a shove from the short stack and another call from a bigger stack. You're not repping anything that would get a pair to fold with that raise... and then they still might call you with the implied
odds to pick up the rest of your stack if the flop a set. With that many limpers and being on the big blind, the standard, even with a strong hand is at least 200, probably closer to 300.
As far as your re-re-raise shove goes, I like it. The only aggression has come from you and the short stack, and you're definitely not folding to his shove. You just have to accept even being a small dog here, as it's highly unlikely anybody is slow-playing QQ+ (except maybe the short stack... but oh well if he is). You want at least one of the remaining big stacks to fold if possible, but if they don't, you know you've got the right odds to build a big stack for yourself (this is confirmed by how they checked it down to the end, even though we can't see any of their cards).
