How were the large Caribbean islands both free and not free?

Most Caribbean countries were under colonial rule even after the abolition of slavery. However, it must be noted that Haiti, a former French colony, was the first Caribbean nation to gain independence from a European power in 1803, even before the French abolition of slavery. In 1492, Christopher Columbus landed in the Caribbean and claimed the region for Spain. The following year, the first Spanish settlements were established in the Caribbean. the land wasn't known or taken by anyone so it would be considered free by Columbus finding the Caribbean islands

abraham lincoln  (february 12, 1809  – april 15, 1865) was an american statesman, politician, and lawyer who served as the 16th  president of the united states  from 1861 until  his assassination  in april 1865. lincoln led the nation through the  american civil war, its bloodiest war and its greatest moral, constitutional, and political crisis.[2][3]  he preserved the  union,  abolished slavery, strengthened the  federal government, and modernized  the u.s. economy.