Can commander restrict you from your residence?

I am guessing it's a FAP issue. If Yes, then they can. I currently work at FAP and when there is a domestic violence report, I call the command to notify them. The first thing we tell a command is to issue a 72 hours no contact order. So regardless of who is at fault or the fact nothing has been proven yet, the Soldier (Male or female) is the one who gets removed. It's a safety issue and the command can only control the Soldier. That 72 hours no contact order can then turn into 30, 60,90 etc. Days order of protection depending on gravity of the situation and what FAP suggests

Yes, your commander can, regardless of whether he or she is a good money manager or not. Which means, they have to help manage the branch budget.