If it was the middle of the night, then I am surprised by the reckless getting tacked on. That was solely at the discretion of the officer. He might have tacked it on just to scare you once he saw how young you are. I was caught doing 74 in a 55 (19 over) at 3 AM on a Sunday morning, but there was no reckless involved. I showed up in court, pleaded guilty, took the defensive driving class, and that was that. A friend was caught doing 24 over, and when he showed up in court the judge announced at the opening of the session that he would not allow someone to take the defensive if they were going more than 19 over. It depends on the judge. You should be able to take the class and get out of it (class will cost you $45 plus 1 Saturday).
Actually, one wrinkle is the fact that you are underage. This might be another factor, and the judge may deny the class on this fact. Another problem is if the judge does allow you to take the class, you have to have a legal guardian attend the class with you (the class I took had a young girl that had to drag her mother along).
Oh, and dabuddha and Nitemare, one thing you may not realise is that since Virginia is the lone state that still outlaws radar detectors, the cops drive down the road with their radars constantly turned on. Once you see the cop, you are clocked and have no chance to slow down. In both instances where I got tickets while living in Virginia, I was caught by a cop traveling in the opposite direction, and even though I slowed as soon as I saw them, it was too late.