How odd - I'm in and out of Court - in NY by the way - and I'm not aware that the Court can't force anyone to pay arrears. I do a brisk business locating non-custodial parents so that the custodial parents CAN collect support for the children.
"As of right now" may be the magic words.
Your husband hasn't taken an interest in the child because she's not legally "his"?
You are saying two different things - here she has no interest in her father; before you posted "She even asks her cousins if they know her dad.. "
Which is it?