Every state is different which is why the forum software asks what state so we can avoid sticking erroneous information for the posters situation. California's "correctable violation" system is unique, but other states have things. Maryland has inspection tickets (officially safety equipment repair orders). They technically cost you nothing other than you have to get the deficiency repaired and signed off by an inspection station (though for some things like bulbs you can get any cop to sign it off). If you don't get it signed off, your car registration is suspended.
That means nothing to the original poster however. In NJ there's no such beast. On equipment violations or lack of inspection or even sometimes on certain license/insurance issues (having a valid insurance/license but not having it with you, minor expiration issues, etc...), you can get some mitigation from the judge in many cases if you show you are now in compliance with the law, but it's up to the individual court.
It's going to be a hard sell to the judge for INTENTIONAL violations or driving while suspended.