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When you move further north from Kingston, your next stop will -most likely- be the ancient banana trade terminal Port Antonio.
The town itself is nothing special, but there are plenty of attractions around to invest time & money –>
One possibility, for example, would be to get yourself a captain in town, who takes you to one of the famous rafting tours, where you spend three hours on eleven pieces of bamboo tied together in the beautiful landscape of the Rio Grande –>