You say he gave you a normal speeding ticket yet you say its a reckless ticket? If you are allowed to prepay it's not reckless. If its your first ticket ever, GO TO COURT! Don't plan on the cop not showing up though, there are many reasons for that. Even if he doesnt show most of the time they will postpone the ticket or let you settle it right there with the prosecutor.
Moral of the story, GO TO COURT!