What are your symptoms? I just took a class on psychotropic drugs, let me see what I remember. Risperidone (trade name Risperdal) is commonly prescribed for autism spectrum disorder, and I would assume that includes AS. My bro actually has AS, and he's been taking all kinds of different medicines over the years, and that includes Risperdal. Other options include the neuroprotective drugs, like Gabapentin (Neurontin). My bro hasn't responded to many of these drugs, and they all have side effects. Risperdal, for instance, is associated with weight gain, which can be a major disadvantage. Definitely consult a doctor or other professional for their recommendation.
For social anxiety, cognitive-behavioral therapy is a popular treatment course. SSRIs are now the first-line pill to take, and these include paroxetine (Paxil) and fluoxetine (Prozac). If you're a male, you should think carefully before taking any of the older SSRIs, like the two I mentioned. As many as 80% of males experience sexual dysfunction on them. I think the new drug duloxetine (Cymbalta) is supposed to not have those side effects. Again, consult a doctor. You will probably want to take at least two drugs, one for the AS and one for the SA, so make sure there are no interactions.
Hope that helps!