First when you want to convert a hand from HEM, right click on the hand and select "copy hand to clipboard", then paste in the converter. Do not right click and select "view selected hand histories" (if you do the raise sizes are confusing because it says "raises $X" instead of "raises to $x").

Why would he do that with AKs? If you mean AcKc, I don't see a 16/1 play the turn this way after just calling on the flop (mind that I don't see 16/1's every day)...

On the turn against TT+,55 you have 53.7% equity. Against QQ+,55, you have 46.4% equity.

I'd say if it is range 1, just shove right there. If it is range 2, just calling the turn may give you an opportunity to make him fold AA on a club river (or try for a check/check if you think a bluff repping the flush would not work). Whichever way, if you call the turn you are never folding.