It depends how you book.
If you book only a room and you want to use their shuttle, you have to pay a fee (€ 10 at this moment).
If you book an arrangement Park, sleep and fly, you have to pay a little bit more, but then the shuttle is free and also you can leave your car in their parkgarage till you come back.
No they charge €10 euros per person
Get an answer from Hotel Chariot staff and past guests.