Quick answer
An appeal, reconsideration, clerical correction, and modification serve different purposes and have different deadlines.
Do now
Obtain the signed order, notice of entry or service, and hearing information. Identify whether you claim an original legal error, a factual mistake, or a later change in circumstances. Seek prompt advice about the right procedure.
Watch for
Asking the judge informally to reconsider may not preserve an appeal deadline. Filing a challenge does not necessarily suspend the order; ask whether a stay is needed.
Official sources
NJ Courts — Representing Yourself, NJ Courts — FD modification application packet, NY Courts — Starting a Case in Family Court, DC Courts — Family Court Self-Help Center.