You can hire your own lawyer and he can hire his own lawyer and have child support claims done that way.

But the claim and the support amount are still kept logged as a part of the federal child support division. and either way the amount of child support handed down in court depends on the amount of income and bills both parents have. and no there is no such thing as two separate claims that I know of. everything is done by social security number so if the child support agency sees you are getting paid already they won't enforce a second claim and the same for the family court.

The back child support is sometimes separated (not as in claim but as in the father can make partial payments of the back payments and keep up with the present amount) from the present amount depending on the cercumstances but its not considered a separate claim that I know of. They just deduct so much plus the present amount until he is paid up to date.for example when my sons father got thousands of dollors behind because he didn't notify the support department he was in prison again the deducted the normal amount $10.00 extra (for the back child support) until he was paid up to date. They can only garnish so much at a time unless its a tax return and then they take the whole tax return to pay for the back child support.