Is there a shuttle to Disney world?

Yes, there are buses that make round trips from Ft Wilderness to all of the Disney World theme parks and Disney Springs.

Yes yo all of the parks

Bus and boat

Yes. You have to take one from your campsite to the hub and get on a bus there

Yes, bus & boat

Yes

There's a boat to magic kingdom, the lodge, and contemporary resort, bus transportation to the parks at the front depot