Depends on your state. But, I'd just show up.
Chances are the cop isn't going to show and they'll have to dismiss it.
If that is all you have to go on you will lose in court.
A minor mistake means nothing. Al that has to be done in court is the prosecutor asks that the complaint (the ticket) be amended. Done all the time. You not only lose but have the chance of getting the judge to fine you more (what is on the ticket is the minimum the legislature authorizes) and court costs.
Go for the school if it is offered no matter how much it costs.
It will be less than the rise in insurance.
While the points may disappear as far as insurance goes they usually use the info in figuring your rates.
A record with your DMV will always remain.