If it's the same in VA as it is here the points expire after a year or two. He just has to be careful not to get any more until then.
It really is silly though. The cop must be a real loser to ticket a bicycle. A warning and a good laugh would be far more in keeping with the "crime".
I police staff sargent I worked with once told me that there was an old saying among the force "There's less shame having a sister in a *****house than a brother on traffic...." Seems there may be some truth to it.....