I would assume that most states handle these in similar manners (maybe not the same, but similar). I can attest to what is possible in Indiana.
First of all, this is a parking violation (a physical act), not an equipment violation (failed equipment). The "fix it" option really doesn't apply here; you cannot repair or replace an act committed in the same manner you can "fix" a broken headlight or missing tail-light lens. Most simply put, you cannot undo the act, so I don't think the "fix it" avenue is available to you.
This parking violation is a civil infraction and not a "crime", and therefore the burden of proof is much less for the State to have to prove wrongdoing. I'm going to make the assumption that you're not going to commit perjury in court, and so you'll have to tell the truth. What are you going to say to the Judge? "Your honor, the date of the citation is wrong; it happened not on the date shown on the citation, but actucally a different month." In this situation, you've admitted that you commited the violation, it's just that the details are wrong. All the Judge would do is have the date altered to correct the "record"; that's permissible to change an error in a civil infraction such as this example. I've seen this happen before, more than once in my years as LEO. I've seen people try to get out of a speeding tix by stating they were going 69mph in a 65mph zone, instead of the stated 75mph on the tix (probably thinking they'd get leniency for such a small amount over), only to have the Judge say "I'll ammend the speed; you admitted you were going over the limit so the violation stands. Guilty as ammended; pay $ fine. Next case." Again, we're assuming you're going to tell the truth in court, and so you are essentially debating the merit of having the facts corrected (ammending the court record).
Or, you could say "Your honor, I wasn't anywhere near that location on that date. Here's proof from a restaurant receipt that I was 20 miles away on the date/time in question." That would be true, but it would be a "partial" truth, because while true, it's not the "whole" truth. Presuming you are swown in before testifying before the court, you'll swear to "tell the truth, the whole truth, and nothing but the truth" (or some similar phrase). So while you're not "lying", you're also not telling the WHOLE truth. Because the truth would be that, while you did NOT commit the violation on the stated date, you DID commit the violation on the date you know to be the "whole truth".
Maybe, just maybe, the Judge would have mercy on you and accept your honesty in trade for dismissing the ticket. Or maybe you'll get fined as you should have been. Won't know until you try.
