Possible Clues:

• Rihanna's birthplace
• Holiday island has no good old pubs around
• Bridgetown its capital
• The capital is Bridgetown
• Cutting remarks about problem in tropical island
• Island producing pieces of music without inferior band
• Local black drink knocked back in island
• Island nation with a trident on its flag
• Hurtful remarks about trouble in island state
• Dig a piece of turf from the right part of Caribbean