Which state is home to the Outer Banks barrier islands?

Which state has the most national parks? Which state is home to the Black Hills? Which state is home to the Ozark Mountains' largest portion? Which state is home to Lake Tahoe along with Nevada? Which state is home to Cape Cod? Which state contains the southernmost point of the contiguous United States? Which state contains the northernmost point of the United States? Which state contains the northernmost point of the contiguous United States, the Northwest Angle?