As always, do not construe posts as legal advice but as "attorney advertising" and you should always consult with a lawyer on any legal matter.
The original order ior orders should be reviewed first as it may have the answer. Consult with counsel or visit the NYS Court self-help section.
No, you should not have to petition the court...but the support enforcement unit isn't perfect in terminating payments. If it doesn't stop as it should first contact the unit, then you may have to petition the court.