The way I read and interpreted this was that a "secondary offense" they refer to is one the is listed at the bottom of the page, I didn't read each one individually but to me it sounded like texting while driving, a temporary permit license violation, no seat belt, headlight(s) or taillight(s) out or not working properly, a violation of Probationary license laws, and child restraints.
Seeing as how you are on a bike, I don't see how 4 of the 6 apply to you. I'm assuming you had your lights on, as well as your licensing sorted out as well. According to 4511.093, " As used in this section, "secondary traffic offense" means a violation of division......division (A)(3) of section 4513.03...."
According to Division (A)(3) of section 4513.03
"At any time when the windshield wipers of the vehicle are in use because of precipitation on the windshield.
Every motorized bicycle shall display at such times lighted lights meeting the rules adopted by the director of public safety under section 4511.521 of the Revised Code. No motor vehicle, during such times any time specified in this section, shall be operated upon a street or highway within this state using only parking lights as illumination.
Whenever in such sections a requirement is declared as to the distance from which certain lamps and devices shall render objects visible, or within which such lamps or devices shall be visible, such distance shall be measured upon a straight level unlighted highway under normal atmospheric conditions unless a different condition is expressly stated.
Whenever in such sections a requirement is declared as to the mounted height of lights or devices, it shall mean from the center of such light or device to the level ground upon which the vehicle stands."
Now, according to my interpretation of 4511.521 Operation of motorized bicycles, nothing is mentioned about lighting or placement of a license/identification plate, I didn't read the entire thing, but I searched for a few key phrases and saw nothing.
I'd think that this would be a pretty easy win if my reading serves me right, but this isn't a lawyers interpretation or anything, but if you feel as if you can win it, I'd fight it. This to me seems like a bogus ticket, not only for when/where it was issued, but also if the placement of the plate is within the law. Remember, the plate also has to be illuminated at night, so if it wasn't, make sure it is in the pictures.