Speaking strictly about the insurance slip charge, you don't even have to make it to court - request a first attendance. When you meet the prosecutor, show them the updated slip. They will most likely drop it then and there, though they are not obligated to.
Also - do NOT argue with them. I've watched people do this first hand, and the prosecutors do NOT take well to it. This part really should be common sense.
Regarding your insurance, you get one chance with State Farm - you can have their good rate with one and only one speeding ticket. Get two, and you're surcharged. Get three, and they drop you as soon as they notice.