you just admitted guilt on a public internet forum :wtf
also that's considered a typo, and they will just make the correction when you bring it up in court, most times the judge will thank you :|
to the best of my knowledge carpool/HOV lane violations are not considered a "points violation", so just pay it, except they get pricey, $250+
I got nailed for an HOV violation on lawrence expwy one day on the way to work, and I payed it, figuring my insurance would then go up, but I found out it was a no point violation, except it was $275 with all the court fees and shit.
live and learn