Antigua one of the Leeward islands
in the Lesser Antilles
and one of the Caribbean Islands ! Its how it all works in the Caribbean we got more than one name to group things and its just like that ! The island state including Barbuda which is much less populated (81,000 odd in total) and a few other islets and mostly uninhabited gained independence in 1981.
If you want to visit here then one of the most accesible ways is via a holiday, this will give you the chance to stay affordably and you would need 2 weeks to appreciate a start of the flavour of pace that is unique. A throwback to when manners came as standard in the United Kingdom Antigua and Barbuda knows that small cheap 'how are you today' goes a long way on a perfect sunny day.
Known for its beaches Antigua and Barbuda and the islets have bays beaches and bays numbering 365 , one for every day of the year. Sandals and The Halcyon Cove occupy one of the better of the best in the Caribbean /World in Dickenson bay. This is on the north west side of the small island of Antigua.
You can find all inclusive
options in both and other opportunities to spoil yourself under the sun. I have experienced a few islands in the Caribbean and I can say that Antigua follows the pattern of keeping a unique identity for itself. An accent to its rapid english first langiuage, a warm day with cooling winds and an infastructure that is developed while not being overly 'touristy' also not overly expensive.
If you opted for all inclusive do the maths and see if you could get the same experience in the Caribbean for less with as many things to do. Perhaps Cuba but that is not the same as Antigua. Take a look at some of the places and resorts to stay and things to do here to learn more about Antigua and Barbuda.