Register the business with the Companies office of Jamaica. Register with NIS and NHT. Register with the Tax Office(for Income Tax, GCT, and Education Tax). Ensure that all returns are filed and payments are made up to date.
It is possible that Customs was not able to verify whether or not the camcorder was brought with you from Jamaica on your trip. It is important for all persons leaving Jamaica with items which they intend to take back (e.g. camcorder) to register those items.