Reading between the lines, it sounds like the support is being collected/enforced through Child Support Services. The support is not yours to waive, but is the child's. You have no right whatsoever to deny the child the support lawfully owed by the father.
Yes, it's a vicious cycle.
If he makes less know, then you you could seek a downward modification of the current obligation, which would allow him to make headway on the arrearage. Other options could include seeking assistance from family members to catch up and help make a fresh start.
The information and opinion rendered herein is done as a courtesy and is for general informational purposes. Nothing herein may be construed by any party as to give rise to an attorney-client relationship.
He needs to take care of his warrants/suspension issues and stop making excuses. Are the warrants/suspension for not paying child support? If he didn't pay previously, why would this time be different?