A restaurant in a restored 18th-century battery building set high on a hill with a commanding view of English Harbour, this is the place to be on Sunday afternoons: An outdoor barbecue and a steel-band concert are followed by a reggae band. It's also an elegant spot for dinner. Specialties include seafood and traditional West Indian dishes. Daily for lunch and dinner. Reservations recommended. $$$. Most major credit cards. Shirley Heights, Antigua and Barbuda. Phone 460-1785 or 728-0636.