I think you shouldn't let him work the numbers or drive finances, etc. You should do your own research. I'm fairly sure that most states have child support guidelines online. I would figure out exactly how much he should be paying. It never works when one spouse says, "I'll just pay for x,y, or z", because then you have to rely on someone that is unreliable to make an important payment for you. Much wiser to get the money. You need to figure out if some things like homeschooling are even financially feasible. Most divorced people find that they can't manage without working. You should go into any mediation with a pretty good idea of what you want out of all this.
You aren't ready to date, even if it does stroke your ego a bit to have someone interested. It's still too new to you. I do believe it would pique your H's interest in you, but emotionally, you aren't ready for that.
Lastly, from what little I read, I would say that some of your husband's anger may be the fact that you are getting a life and he doesn't like it. I think there is some jealousy involved. It may even explain why he'd like to pin you at home with the kids.
In the end, it's not the years in your life that count. It's the life in your years. Abraham Lincoln
It is hard to fail, but it is worse never to have tried to succeed. Theodore Roosevelt