ADD/ADHD can't be formally diagnosed in addition to Asperger's. It is, however, frequently part of Asperger's, and some doctors will add that diagnosis so that school etc. has more idea about how to handle this child (maybe... my experience with schools "getting it" is not positive...).
You have an Aspie who has just been handed a major, life-changing transition... and because husband is deployed, that comes with the risk that he might not make it back. Your Aspie high-anxiety son is... going crazy. It's not about punishments, it's not about rewards. They won't work in this situation.
He's 10? Might be worth exploring some other medications options, if he's that out of control. Also keep in mind that for some kids, the hormone changes can start his young... and while those have their own challenges, the hormone changes also affect how medications work.
