First you cannot medicate Asperger's out of existence. Now you can medicate some of the symptoms. Such as if they believe he is suffering from depression which is quite usual for an AS child at this age, and cutting himself like that may indicate that. Also, there are meds for controlling anxiety that work wonders, but really to help you any more with this we would need to know the medication they are wanting to put him on. Between all of us we will probably have some knowledge of all the meds that are commonly used.
I hope we can help.
Carol