Provide the claim is kept current, and the obligee was not on Welfare at some point, than it would be the parent owed it.
Not until your child is 18
yes
No, that is still your child. Alimony would stop but not child support.
no
yes
Generally, yes.
It depends on the state you live in and the age of the child.
Doubtful. The child support is for the welfare of the child, not the mother. Check with your state child support office for specifics of the law in your state.
In New York State the maximum age for child support is 21 years old. However that is considered "emancipated" if the child gets married, becomes self-supporting, or joins the military.
That should have no effect.
No, as the payor has to approve the adoption
No. Child support is paid by absent parents.