Bahamians greet people with a proper British "good morning," "good afternoon," or "good evening." When approaching an islander to ask directions or information, preface your request with such a greeting, and ask "how are you?" Smile, and don't rush into a conversation, even if you're running late.
Humor is a wonderful way to relate to the islanders, but don't force it. Don't try to talk their dialect unless you are adept at it. This takes long exposure to the culture, and though most Bahamians are too polite to show it, you'll either offend them or amuse them if you make a bad attempt at local lingo. Church is central in the lives of the Bahamians. They dress up in their fanciest finery; it's a sight to behold on Saturday evening and Sunday morning. To show respect, dress accordingly if you plan to attend religious ceremonies. No doubt you'll be outdone, but do dress up regardless.
Business in the Bahamas is conducted very much like it is in the United States. Handshakes, business card swapping, and other protocols are the same. Meetings are usually held in office conference rooms, and occasionally at a local restaurant for lunch, in which case either the person who invites pays, or all pay their own tab. Islanders wear suits and typical business attire for work and meetings, so don't be tempted to wear resort dress in an office atmosphere.