[Im_a_retard]

1 - Folding/shoving are both ok. Although an arguement can be made for calling if we plan bruffing diamond rivers (although I wouldn't usually, people never believe backdoored-hands, hence their inherent value).

3:1 on the call, we have like ~20% equity (9 outs once) - how much more would we need to win on the river for the turn call to be +EV?

2 - c/f and cr both have merit. The 3s is a relatively [censored] card to 2nd barrel on.

When he bets it's 43:25 = 1.72:1 to us. We have 4 nut outs which is around 15% equity (the trouble I am having here is assessing our overcad outs - assigning 6 more pure outs to our AQ here seems rather over-zealous).

3 - I like a flop check, seeing as though we didn't... I think a fold is good here; with two of our outs tainted I don't think we have as high implied odds if we hit to stack him.