Well, the first problem is the court of jurisdiction to approve. That would be the county and state where conception took place. Second, the court would decline the motion. see links
No. By signing over your parental rights you are basically saying you want to have nothing to do with the child in question, as if it is not yours, therefore you have no financial responsibility.
You need to get a family law attorney. Depending on your state you maybe able to get help from family services through the Department of Social Services. There also maybe a family law clinic that can...