Doing. Every version of that expression I have ever heard uses doing instead of saying. And all of the tourism ads here actually make Jamaica seem kind of... third-world. I can assume its nicer than that since you appear to have Internet and a significant gaming budget, but I can't imagine the infrastructure is first-rate.
Basically the Right Hand left hand thing means that two parts of the staff do not communicate.
A doctor will prescribe for you a medicine, and tell you do not drink milk. The nurse will bring you the medicine(most of the time) and a bowl of cereal or some other food with milk in it.
And the whole Caribbean is Third world. The real def of third world state is; a state that has experienced colonial rule, is democratic and whose economy was developed for the purpose of providing goods to the colonial power.