After you file

So I already proved my right to claim our son with court paperwork (I was able to amend because of a little clause in our custody case stating that if he fails to pay all child support, then I get to claim him), will I have to prove it again? I'd just send the same paperwork.. Also, he moves around every couple of months so any mail he receives from court never reaches him, I suspect the same will happen with mail from the IRS and he will never respond.