He touched some one from outside the home. At that time it should have been dealt with outside the family. The police should have been called as he committed a serious crime. Really, if he touched the 4 year old sister as is implied by the police report, it should have been handled by the system.
Again, all of that would have been confidentially held and if he did turn it around his record would have been expunged when he turned 18.
You give your parental discipline and professional help in addition to accepting the responsibility for breaking the law. Like I said, my kid might get a pass with me once on something serious, might not. It sounds like Duggar Sr. "found out" about this behavior a couple of different times.