Possible Clues:

• Island in the Indies with some giant iguana
• Island hill dweller keen on the radio
• Island opposed to sentries (not half)
• Not in favour of a month back in island
• Aga unit in the West Indies
• Island that bore the stamp of Robert Graves
• Barbuda's island partner
• St. John's is its capital
• Leeward island, capital Saint John's
• Caribbean island, as opposed to Pacific one miles away