Not certain with the advice I'm about to give. I'm still a new guy so there is a good chance I'm talking out my ass here. But maybe a better player will correct it if it is wrong and help us both.

The one thing you need to consider is that every move you make is seperate from each other in a ev standpoint (I think! lol). There are times when raising with a hand is +ev, but calling a reraise is -ev.

Yes it's obvious you already put money in and it may feel like you are in for so much already you might as well see it through till the end. BUT, once the money goes into the pot, it is no longer yours. When people talk about being pot committed that is generally due to the odds the pot is offering them. And it being to great to lay their hand down. Here you aren't getting the correct odds to play after the flop.

Also your hand range for them is rather screwed. AJ, and small pocketpairs don't normally re-raise (3bet) preflop. Not gonna say never, but it's not the common thing to do. I know at 10nl a 3b is percieved as pretty solid value as people don't know the concept of 3b light yet, as the higher players do. So when I get 3b a normal range is something like JJ+, AQs+, AKo. So to call you generally need a read or a hand that plays well against that range.