AJo

Old poker truism: If your hand is barely worth a call, just bet it. It is at any rate better than check-calling. (How many streets do you plan to call?)

In spots like these, reasoning like "better hands calling/worse hands folding" doesn't apply to the extent they do e.g. on the river. The primary concern is that there are 3 rounds of betting left and we are out of position.

I don't have an exact answer, it need to be in your personal game plan. Thus plan in advance. What do you do with TPWK HU OOP? It is an everyday situation needing attention.

Clear cbet for me.

I would C-bet also. AQ, AK beats us, however we beat QQ,KK,JJ and that´s just a beginning. I would definitely c-bet flop and most likely the turn. Probably checking the river here.

This should be a cbet. As played, you can call flop.

I don't hate the check but I think that I would rather have a spade in my hand if I were to c/c. I don't mind a c-bet 3 ways either and I think the default line is to bet flop/bet turn/decide river. Something like A5 seems like a much better check OTF and I would also use spades as a factor when determining my frequencies.

As played, call and see the turn. Probably check pretty much every turn.