If Jamaicans saw Fly Jamaica referred to as Air Jamaica they would string you up alive.
If you plan to survive do NOT refer to Fly Jamaica, a Guyanese airline, with Air Jamaica which used to be a "piece of Jamaica that flies". They are still angry that a Guyanese and a Trini airline "come tek over Air Jamaica" and they want to know since when Guyanese have a right to use "Jamaica" as part of the name.