I've fought several traffic tickets, one I won and one I should have won but was too stupid to know what to say when I had a chance to get it dismissed.
I might be tempted to take the documents you received to the local PD and ask them exactly what you were doing wrong as the picture doesn't show you did anything wrong. Listen to their explanation, if you can get anyone to talk to you, and AFTER THAT, make your decision.
I hope you fight it but it's understandable if you don't. Usually, when dealing with government I find all they want is money, and I give it to them, it makes them leave me alone. However, this situation is a little different and grayer. If you've got the time to go to court, it's really good experience and I recommend it. It will serve you well throughout your life.
To Liberty!