How can a father relinquish his parental rights in South Carolina?
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.
You can relinquish parental rights, but it does not absolve you of paying child support. When you relinquish your rights as a father, you are still a parent under the eyes of the law. You may also want to consider who's best being served by you removing yourself from your child's life just so as not to have to help raise him or her.