If allowed, once the father terminates his rights, child support is no longer required from the father. Typically, however, absent dire circumstances or an adoption, the courts will not terminate a parent's rights even if agreed, unless there is an adoption ready to take place. In the event he moves to another state, there are laws in place to establish child support payments when one parent is in a different state from the other. Consulting an attorney to view your options would likely be the best option. Many attorneys offer free consults.
If parental right are terminated, the obligation to pay support while be terminated as well. There are options to restrict the fathers access and still receive support. You need to consult with an attorney to discuss your options.
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