Here in NJ you would file what's called a "motion in support of litigant's rights," which is basically a proceeding to enforce an order that's already in effect. I believe most states have similar procedures. The order is already in place, so it shouldn't be complicated. I always think it's best to have a lawyer, and if he's forcing you to go to court he will likely have to pay your attorney's fees. You can also call the court clerk and ask if there is a "pro se packet" so you could file the motion yourself. The papers are not complicated. Again--all you're doing is trying to force him to follow the order.
He can't take out a mortgage without your agreement, so that's an empty threat.
If you're concerned about your credit rating, you could pay the timeshares and seek reimbursement in the court at the same time you file your motion. It's only one month that wasn't paid, right?