Alex,
Sounds like you have a bargain there.
FYI - When i checked in to the Copthorne, i were expecting them to give me a badge or sticker to place in the window, for the parking, but this didn't happen, they did ask my car registration number though.
From what i can remember, long stay parking is around the back of the hotel. However, i left the car in the front (short term), with no problems at all.
Paul