Nice work on the ranges!
Couple of things about the turn. You maybe forgot A6-A8 in your range? I'm not sure how you put spades into HEM, sorry; I use PokerStove for my equity calculations, but one thing you should think about is you say "I have 23.1% equity against that range not including spades so it is a clear fold" -- including spade draws in his range on the turn will give you more equity, not less, as you're currently ahead of those.
Secondly, while you need 50% or more equity to value bet, when calling, you happily don't need anywhere near as much.
The equation is call/(pot+call) to get the amount of equity you need, making sure to include all bets on the current street in the pot. In this case, 0.12 / ( (0.18 + 0.12 + 0.24) + 0.12 ) = 18.2% equity needed.
You can see that this works because if you risk 0.12, and lose that 81.8% of the time, then that's an expected loss of $0.098 (=0.12 * 0.818). But you stand to win (0.18+0.12+0.24)= $0.54 18% of the time, so an expected gain of 0.098 (=0.54 * 0.182) which is the same as your expected loss, so if you had any more equity than that, your expected win would be greater than your expected loss.
If you don't know where I got some of the numbers from above just ask. There are also some great posts by spoonitnow floating around that might be worth searching for. "calling an all-in" or something along those lines is a good read, which does a much better job than I of explaining the concept.
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