Yes, he can be. see links below
Paying child support will not cause the father to lose his parental rights - neither will not paying child support.
You have full custody and legal guardianship. The father have to go to court to get his parental rights and petition for custody, visitation and pay child support.
The right to petition the courts for the right to see and support his child.
It's not in the dictionary.
How does he have any visitation rights with a custody and child support order?
Termination of parental rights does not, in itself, terminate child support.
An unmarried father cannot "choose" to not pay child support. The laws in every state require that a father pay for the support of his child. The mother must bring an action to the appropriate court so that a child support order can be established. Visitation rights are separate and a father can have visitation rights established by the court. Visitation rights are not dependent on paying child support.
Generally, no.
no
You can sign your rights away but you will still have to pay child support if you are the father or mother of the child. There is no way to avoid paying child support.
Termination of parental rights does not terminate one's child support obligation.
No. As the grandparent you have no rights to the child. But since she is not married to the father he will have to prove paternity with a DNA test if he wants parental rights such as custody, visitation and pay child support.