Thanks guys. In the end I just took my evidence (bank statement) and this was enough as I won.
Anyway, here's what happened for those interested.
The judge said that the witness statement given was fairly copy + paste and some of it was not relevant (basically she knew I hadn't written it and it wasn't done by a lawyer). I am not blaming you guys as it was better than anything I could have came up with. However, she didn't go into any further details.
However, it was pretty evident that she slammed their statement much harder and said it was confusing and 'strange'. In other words, she wasn't really disappointed with mine but was with theirs.
In fact, it's almost like the lawyer didn't really understand the assignment either. In the end, they tried claiming I'd entered the wrong reg but had no proof. Not only this but because I'd used the car park before and after on other dates, she could see I was not doing anything malicious even if I did enter in the wrong registration.
Overall it was a pretty big waste of time all things considered but I'm glad I won and wanted to say thanks for helping me through the entire process.