Maybe I should stay 'stop' and 'start' then.
I think consciousness is a process, not a thing. It is something the brain (and possibly other things) does. I think it can stop and start.
Yes it is something the brain does, and something the brain stops doing when it is destroyed.
Creating a new brain based on the old one will allow for a new consciousness that has the same memories and behavior (at least initially).
That there is someone out there with your memories does not bring you back to life. It brings someone who appears to be you to life.