The islanders should have a right to govern themselves. Although the land was originally part of South America, it has been held by British for a long time, and the islanders do not want the land to revert to Argentina. History has shown that the British are not willing to let go of the territory.
The Falkland Islanders absolutely have the right to self-determination, just as any other people. This is an internationally recognized right and cannot be ignored by either Argentina or the United Kingdom. Ultimately, only the residents of the Falkland Islands have the right to choose their political situation, and their say is final.