Do you provide shuttle service to hotels?

No. But your hotel might, when you book your hotel, check to see if it offers airport shuttles being as some do and some don't (should be listed with their amenities) and then you call them and give them your flight info and they'll have someone pick you up

Lots of hotels have shuttles that go back and forth from the airport all day. The Marriott North has.several that run about every 30 minutes, you just call them to let them know which gate you'll be waiting at.

No. Many hotels run DFW airport shuttles, however.

No but they are available from the airport