Guantanamo Bay
Cuba
No. But the US has territorial control over Guantanamo base in Cuba.
A free and Independent Cuba but one that was under full US control.
Cuba was not part of USA, it only was occupied by USA around a couple of years in 1898. After the occupation Cuba gained self-control and establish a new government.
The US was given control of Cuba in 1898 by the Treaty of Paris which ended the Spanish-American War. The treaty put the United States in total control of Cuba and the US took over military possession of the nation from January 1 1899 until May 20 1902, when the US possession of Cuba ended.
The US does not control Cuba. There are military sanctions against the island.
Cuba-Under teh platt Amendment US gains control over aspects of the independent republicos cuba it bacame aprotectorate,Cuba could not make treaties with otherforeigh nations allowed US naval bases asnecessary,and gave the US the power to intervene incuba affairs.
Roosevelt
No. The US granted independence to Cuba after the Spanish-American war, and has never occupied it since.
In the internal affairs of Cuba, the US has no right to intervene. Regarding the US Naval Base at Guantonamo, as long as the US pays its lease, doesn't abandon the property and doesn't agree to terminate its lease, the Guantanamo will remain under US control.
Florida
No. The U.S. passed the Teller Amendment around the beginning of the Spanish-American War. The amendment declared that the U.S. would leave Cuba after it's independence from Spain was secured.