as i said, it's copletly irrelevant who reported it, or what cctv you have, if you badge had fallen off, or even if people"know" you are disabled
If you weren't displaying permission to be parked in the disabled space, then the parking ticket has been correctly issued. You say that the police officer has your details (and presumably you are still parking there so they could find you if they wanted) so i don't think you can use the "wrong number plate" reason not to pay. As far as i recall, if you don't pay and they yake you to court, they have up until the court date to amend the details to the correct ones anyway.
You have 2 options
1) pay up
2)appeal it and see how far you get