How did the English come to settle the Carolinas and possess New York and New Jersey?

The English settled the Carolinas in the mid-17th century, driven by economic opportunities and the desire for land. In 1663, King Charles II granted a charter to eight proprietors, leading to the establishment of the Province of Carolina. Meanwhile, the English seized control of New York from the Dutch in 1664, renaming it after the Duke of York, who was granted the territory. New Jersey was initially part of New York but was separately granted to two of the Duke's allies, becoming a distinct colony in 1664.