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Hopefully your husband has kept a record/receipts for the support he has paid. Since there was no order in place, your husband should not be charged for back support--only support going forward if either parent files for such. However, the receipts would show that he has supported his son even though an order was not in place.
Since your husband is not legally bound to pay child support, it appears your questions may involve future support. Since there was no order, he can stop making payments without recourse unless and until a temporary or final order is entered compelling him to pay.
If his intent is to provide for the child, he must file a petition to establish paternity and determination of child support. Generally, the petition must be filed where the child resides. However, he may continue to make payments voluntarily without filing a petition if he intends to responsibly support the child.
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