If I was to give up my parenting rights , would I still be obligated to pay child support?

Thank you for your question. I'm sorry you are having issues with the child's mother. You cannot voluntarily give up your parental rights unless there is another individual  willing to adopt the child. If and when the child is adopted by another individual, then child support can terminate. With regards to the child support you are ordered to pay, I strongly suggest that you consult with a family law attorney to see if the amount is appropriate or if you may be overpaying.