One does not mitigate the other, so it would be up to a judge to grant both requests.
Paying child support will not cause the father to lose his parental rights - neither will not paying child support.
The father has to have the court's consent to cease paying child support.
Relinquishing parental rights does not terminate support; however, generally, adoption does.
In general, parental rights are terminated either preparatory to an adoption, or after a trial in which it is determined that the parent is unfit. In any case, termination of parental rights does not, in itself, terminate child support.
Giving up parental rights has nothing to do with paying support. As the natural father, you are obligated to support the child the mother will be raising and can be ordered to do so by the court. You made the decisions; the consequences are yours. Think of the child and his or her needs through childhood. Would you want to be left behind because your father didn't want to support you?
Even if he is paying, he has no rights until court granted.
No but your mother can. The child support goes to her and not you.
The father does, since the mother is paying her share towards the children in the form of child support.
Only Welfare
no
In many states, you can voluntarily terminate your parental rights, but in doing so, that does not absolve you of certain parental responsibilities, such as child support. All it does is strip you of any physical presence or decision making in your child's life. If you're going to be paying support anyway, why would you want to do that? Children need both of their parents.
The father is responsible for paying at least the state mandated minimum in support regardless of what type of income or assistance the mother has. That is considered her portion of support, child support is yours.