court ordered
No. (The answer is the same whether the father is the obligor/non-custodial parent or obligee/custodial parent.)
A custodial parent may have to pay child support if his income is significantly higher than that of the non-custodial parent based on the non-custodial parent's "parenting time" percentage.
Yes, if the father is the custodial parent. It works just the same as when the mother is the custodial parent. The non-custodial pay child support based on their income and other factors.
No, it's up to the court. However, the non custodial parent would traditionally become the custodial parent. The parent should always have first right to their child!
It varies.
The situation regarding child support MUST be revisited if the circumstances of the custodial parent change.
Perjury
Only by a court order.
nope
That's up to the judge, but generally is only applicable when a father gets custody while owing, as only 7 out of 1000 mothers pay support to custodial fathers.
Yes. Many states require that the custodial parent petition the court and the judge can determine if it is in the child's best interest to relocate the child out of state.
for what?