Can commander restrict you from your residence?

Yes they can, but usually it involves an investigation into or report of some sort of domestic violence. You need to find out fully from your command why it is that a month later you are still being told to not go home, and I am assuming that the unit is providing some sort of "housing" for you. If you get the same response with nothing added to the reason then I would seek advice from both the JAG and IG.

I would use JAG for counsel. They will ensure that you are not violating UCMJ or the Soldier's rights.

The CRD can pull your pass which would restrict you to base without UCMJ action. Although we don't have formal pass cards it is still in AR600-8-10. You would have access to the limits of your post and although you don't need to show your pass card when going out the gate if caught off post you would be subject to UCMJ action.