Do you think it's worthwhile for him to see a doctor about his chronic migraines, vomiting, and stomach upsets? Maybe he's dealing with a food allergy or intolerance. I have food sensitivities and if I eat something with MSG, I'll get strong headaches and vomiting.

I agree with you, these behaviours are and will greatly impact your child.

I'd suggest couples counseling, as well.

I think it's reasonable for him to ask for some alone time per week to do as he pleases. I do think taking a full day on a weekend is pushing it. Would that leave you to care for your child 6/7 days? That doesn't sound right. Perhaps you can both come to a compromise so you're BOTH getting some alone time.