It is my opinion that you have nothing to lose in contesting the ticket. You will be given a court date in which you can appear and present your side of the case. Sometimes the officer fails to appear at this hearing and the case is dismissed without you having to do anything but show up at court. The worst case scenario is that the judge will affirm the civil violation, in which case you are in no worse position than you would have been had you not contested the ticket.
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I wouldn't call it "appealing a ticket" like the cop did, which suggests that you are already convicted, (which you are not). Convicting a someone of any violation requires a trial with a judge and 2 sides.
You could probably look for a local criminal defense attorney and find out what he would charge to do the work for you.
This is not legal advice. If order to give you legal advice i would need to see the Tickets and talk to the court first. Good luck:)