The correct answer is D) They were the first ones to claim the land.
What might explain why the Dutch believed that they had more of a claim on New Amsterdam than the British is that "They were the first ones to claim the land."
Due to the expedition made by explorer Henry Hudson in 1609, the Dutch claimes territories of what today are New Jersey, New York, Connecticut, and Pennsylvania. But it was until 1626 that the Dutch established a small government in what today is Manhattan. In those years they called it New Amsterdam. Many people started to establish there, and that was the most important settlement of the Dutch.