Yes, if the court order provides for child support and insurance past age 18.
With the court's permission.
13
Yes.
no
NO!
The noncustodial parent is only responsible for any child support payment. It is the responsibility of the custodial parent to organise the child's life, including any necessary insurance cover. Basically, you didn't want them having any say in the child's life, so you cannot expect them to simply do everything for nothing.
yes
no
no
Generally, no.
Yes, it can. Moving in with the other parent is grounds for "flipping" child support payments. However, this must be done by court order.
If an underage permit driver had an accident in a noncustodial parent's car, the insurance of the custodial parent should cover the cost. Contact the insurance company for full coverage benefits.