Initial preflop raiser is a very loose agressive player that 4bet very wide. That's why I've decided to 3bet those AAxx instead of calling

Firstly regarding your raise vs the initial raiser - I think it's pretty standard value 3bet preflop vs a lag player who will 4bet wide - you should definitely be pushing that equity edge and smashing as much money into the pot pre vs this type of player with all your AA** in my opinion. If he is just going to liberally 4bet you - tighten up that 3bet range (so your range smashes his) and get as much money in the pot as possible with that delicious equity edge and auto profit if he doesn't adapt. My experience at 10plo the average player wont adapt very well at all.

On the flop I would value bet bigger (if i was to bet) vs what seems to be a player inclined to click that call button and the agro player (we basically have the nuts here vs him) - I would want to get as much value from my hand as possible and if the CO wants to get clever he has to put more money in the middle to do so - The board doesn't hit yours or anyones range really so if he is really agro like you said he might want to try to get clever on this board and just bluff you off your TT-KK type hands - i think you can bet $1-$1.50 more on this board. I like a bigger best sizing as well for the entirety of your range which will include an overpair a large amount of the time. Checking may also be an option for your current hand as this board doesn't hit anyones range and we have a player we have determined as very agro in position - he may flop stab a lot when checked to and there isnt really any bad turn cards for our range vs his range in this spot and the player behind stands to have nothing to - any improvement to his hand would just potentially get us more value. We may also be able to check raise if the limp caller bets when check to - if he starts betting he stands to have something.

An argument can be made that a smaller bet size might be better for parts of your range- maybe if you feel you want to bluff at these boards a lot where it hits no ones range thus giving yourself a good price to bluff at it, keeping the bet size smaller could be a good idea (for the long run). At 10PLO i think it's reasonable to expect we can get away with betting different sizes with different parts of our range because the player pool is so weak on average and they are rarely looking into the difference between a 50% pot bet and a 75% pot bet. You also have to assume if you're taking a pop a lot that you will get a reasonable amount of folds - if one player is call inclined an another very agro doing this probably isnt too advisable to be bluffing at this board very often.

The turn card isnt very good for our range vs the callers range imo - only 2 bad turn cards in the deck so it's unfortunate - And this is where it gets a little tricky and I would need to do some work with pro poker tools before I could give you a definite answer. I dont think im ever leading to fold on this card. If you bet this turn I feel you cannot ever fold - he basically pot commits himself with the min raise - I would count that as a jam - and with the SPR on the turn, you dont need much equity to get it in here - you're probably going to have it - this I cant tell you for sure but I assumed his turn raise range here will look something a little like:

Boats: 86, 66, 44, 84, 
Good trips: A8, K8, 
Straights: 57xx
Combo draws with a pair or trips:  T98x, 987x, 543xhh, 8xxxhh,
Overpairs with hearts (QQ,JJ,TT - he didnt raise pre suggesting these may be hard to justify - we also have Ah blocker which means he doesn't have nut flush draw)

I feel it's a strange spot - when he raises his range is always going to have a lot or good equity vs our hand. Im not convinced checking really affects his range too much if he bets - i dont think you can check call either - you have to check Jam alot - there are a lot of ugly looking rivers you dont want to call a river bet on. Im almost certain you cannot check fold either and im also pretty sure you cannot bet fold with stacks at their sizes. As a result, looking at this I feel probably bet then getting it in is the best option.

Sorry about the wall of text. Been thinking over the hand for a while haha