You've asked a lot of questions there.
First of all, with respect to the national structure, a branch is autonomous as long as it stays within the constitution and the general bylaws of Dominion Command and their provincial command. Some branches have their own bylaws, and as long as everything stays within the overall envelope....
If a branch wants to sell its property, then it has to have permission from the provincial command it belongs to. The provincial command will look at ways to help save that branch, if it's at all possible.
I'm sorry, I forget where you're from. Cape Breton? Nova Scotia has a great program that it calls the branch advisory committee. It will make every possible effort to keep that branch afloat. It could be financial advice that it needs, or it could be declining membership. A branch can sell its property but still hold its charter. If a branch is disbanding, then 99.9% of the time whatever moneys are left would stay within that community and be dispersed among other charitable organizations.
So, no, it does not come to the Dominion Command unless we've incurred expenses in disposing of the property. For example, let's say the branch has been operating outside the charter. I send a directive saying get back in or you're out. We give them every opportunity to get back in, but let's say they continue to stay out. Then I pull the charter and there are expenses involved--lawyer expenses--to dispose of the property. I would claim those expenses to Dominion Command and the rest would still go back to the community.