You have to be patient waiting for replies.

And maybe check out the "5 love languages" while you're waiting.
The problem seems to be with both of you, to be honest (in my opinion). You're with-holding sex because you don't feel your needs are being met (even though you sound like you enjoy sex when you have it so you're depriving both of you), and he's not making an effort to meet your needs and getting grumpy when he doesn't get what he likes. You both have legitimate concerns, but without communicating and identifying a way for you to both get your needs met, you're going to keep building frustration and resentment.
In any case, constant/continuous rejection of your husband's sexual overtures can cause a lot of resentment and frustration on his part. I speak from personal experience. But in our case, my wife didn't say why she was rejecting me, and I never communicated my resentment to her. At least you two are sort of talking about it, even if you're not dealing with it effectively.
Oh, and his running away and taking your toys is a childish temper tantrum, but obviously we're only hearing one side of the story.
C