Where in the Caribbean am I?

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Across
  1. 3. I produce blue liqueur
  2. 4. My capital city is St Johns
  3. 7. I’m made up of over 700 islands
  4. 8. Smaller than my twin island to the west
  5. 11. Arid landscapes and white beaches
  6. 12. East coast is for surfing west coast is calm
  7. 14. I’m a French Caribbean Isle
  8. 16. Volcanic beaches and waterfalls
  9. 17. Rico A US territory with Spanish heritage
Down
  1. 1. Has boiling lakes and hot springs
  2. 2. Blue Mountains produce world famous coffee
  3. 5. Famous for underwater sculpture park
  4. 6. Split between two nations
  5. 9. St George’s is my capital
  6. 10. Port of Spain is my capital
  7. 13. Capital is The Valley
  8. 15. A volcanic island with hot springs
  9. 16. Historic railway and a volcanic peak