I doubt the Red Lion will cancel it, its probably a bit of a cash cow for SMART parking and the Red Lion probably wants their spaces protecting from hotel guests.
On the face of it you don't have any obvious grounds for appeal unless you can show the signage is poor, which it may well be. You can run this down if you really don't want to pay, doesn't really matter what your appeal grounds are in this case, it'll probably be rejected as will the subsequent appeal to IAS. You just need to go through the motions. Debt collectors letters will follow which can be ignored, followed ultimately by a letter of claim to kick off legal proceedings. You will need to engage with that process or risk a default judgment against you. If you do defend the claim they will most likely drop it before it goes to court.
So weather the storm for the next 6 months or if you want it to go away now you'll need to pay, your choice.