If I sign over my rights do I still have to pay child support

There are hundreds and hundreds of posts which answer this question - please use the AMHD search feature.

In a nutshell, 90% of the time, no. You stop paying when and if the child is adopted by someone. Until then the child you created is your responsibility to support.

1) YOU can't sign over your rights, only a court can terminate rights
2) No court will allow you to terminate rights to get out of paying support

And, had you read the sticky note at the top of this forum or done some reading you would have known that without having to ask.