Although that may look like a direct way to get to Cartagena - Florida
-> Cartagena - - please look at the Atlantic Pilot Charts
and you find it is a rather nasty way to get there. There are two "reasonable" weather-wise routes; Bahamas
to T&C to D.R. - Samana then south to the ABC's and west along the coast to Cartagena ( a rather long route
but out of the nasty circle of water
between Jamaica and Columbia
. Another route is from Jamaica to Panama
via Providencia, St Andres and Panama
then east to Cartagena. This is shorter and also avoids the nasty area between Jamaica and Columbia
- but May is not a good month and as the season gets on the early Tropical Storms start up first in the western Caribbean
There is only one marina in Port Antonio and they have a website and advertise in all the sailing/cruising publications. The rest of Jamaica is not particularly safe for visiting boats so be wary and careful.
However, if you have a "green-water" boat
and experience with gales and monster seas, then the route from Jamaica to Cartagena is do-able.