And these kids making printouts of others plates have the exact same year, make, model, and color car as you? Sorry, that's pretty far-fetched, even for the sake of argument. If that's honestly the case, you could fight the ticket. In addition, the video of every infraction is reviewed by an officer before they decide to send a ticket or not (at least in my case -- see comment of mine below --, and I would assume this is common practice). That should rule out any technology-based errors or even the system being erroneously triggered. If there really is a legitimate error, or if you really weren't the one driving your vehicle, you should have no problem getting it dismissed and not paying the fine.
Furthermore, they are non-moving violations (again, at least in my case - I don't know if this varies by state or location). This is the same as getting a parking ticket or something. Your "criminal history, driving record, insurance cost, etc" are not in any danger.