Since we get to the flop we need to think about our pot and fold equity.Our pot equity is not great in that flop.We have two overcards and nothing much.We just rely on our fold equity.To realize what's our fold equity we need to have some information about villain.This is not the kind of flop we hit so hard.We won't have much barreling opportunity.Check/fold on that flop shouldn't be weak.We can check/call sometimes if villain is likely to bluff with weaker hands.

I would go bigger pre. My typical sizing here is $1.60.

Our hard hitting hands on this flop are AA-99 so this flop will typically be pretty good for the PFR. Betting flop with nearly everything in your range (as long as your range isn't crazy loose) for a small sizing is a reasonable flop line. On the turn I think everything above Tx, plus maybe 4x 6x will favour your range. Any 9x 8x 7x 5x should favour your opponent so checking a significant amount seems good. 9x is also a turn I'd expect to have minimal fold equity on. Check calling AJo here seems less than optimal so I guess fold is the play. Not the prettiest hand but I would often play it similarly.

I think your line is perfectly fine. The flop spot isn't ideal but cbetting should have higher EV than checking especially given the limit and 9x is one of the worst cards for you to continue on since it decreases your fold equity by a lot. Well played.

Against min raises OOP I always make it 8bb.

Pre the hand plays well against a wide BTN opening range but calling is fine too unless BB is a confirmed aggro squeezer.

C bet with over cards is standard, even though there's not going to be many decent turn barreling cards. At least we can make a nice top pair hand.

Turn is an easy check fold.