yes its a DAY camp
yes.
The child is no longer a minor. As an adult, they are responsible for themselves.
no
That depends on factors such as the language of the court order, the State, whether the child has a severe disability, the child's school status, etc.
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.
He finds her, files an injunction to have the children returned, and start putting aside child support into a trust fund because she will likely refile for retroactive child support in another state. see link below
Yes. see link
Yes, depending on the divorce decree, a parent in New York State will still need to pay child support even when parent rights are terminated. This varies depending on exactly what the judge ordered at the child support hearing.
The state of residence of the obligor, which than transfers it to the other state, who can than claim not to have received it.
The answer to this child support question and many others for the state of New York can be found here. https://newyorkchildsupport.com/
generally is not done. see links
The Division of Child Support Enforcement has a section on its site dedicated to New York Child Support and extensive information about their programs and services (from information for teen parents, to guides on how to apply for programs).