It is very important that the parents not let it go at home either and then it is reprimanded every time it is done.

I would separate the two types of activities though. The pinching comes under the hitting, kicking, punching category in the sense that it is deliberate. The biting is often more of a reflex thing and while done in frustration or anger is harder for the child to control and takes less thought on their part. Giving the child something acceptable to bite such as attaching a teething ring to their clothes and making them bite only that can help some - they just need a good chomp down to get the frustration out.