If I am on welfare and the father pays child support and wants me to take off the order do I have to pay child support services back?

You can not just "take off a order" once issued, he owes the support, he can make a motion to amend the payments according to his income charges.

If you are on welfare and he is not paying support, normally the state will come after him.

Next why would you want to lose the child support ? What is he telling you ?