OK, so DH is not normally an explosive controlling jerk. He had a little "hissy fit" related to a stressful situation. We've all done it, even those of us who will say we haven't.
So, what to do?
Sit down with DH and explain that while you understand it's a stressful time and truly appreciate that his parents are coming to help, the fact remains that you will not be able to get all that time off on such short notice. Explain to him that you will calmly discuss your situation with your 2 bosses and ask for as much time off as they feel they can spare you for during that week.
And then do so and hope for the best.
As far as his parents, the explanation to them is "Katie got as much time off during the week as her jobs would allow and you have no idea how much we both appreciate your coming to help us". If his parenst have a problem with that, then it is their problem, not yours.
If you are a newlywed, you might also want to mention to DH that before he makes a plan which includes you and your availability, he might actually want to check with you to see if the plan is feasible.