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Accepted Answer
The first thing I would recommend, since this is a live site, is powering down the Droplet before taking the snapshot. This ensures that reading and writing stops while the snapshot generates and ensures data consistency. If you do a live snapshot, and writes are taking place at the time the snapshot is run, you may lose data. The only way to prevent this is powering down, take the snapshot, power on.
As for your questions:
1). It’s a full-state backup – that means OS + Data. They would restore it as an image when deploying a Droplet on their end.
2). The client should only need to point his/her domain to the IP of the Droplet created on their end. It all depends on how things are setup, but that’s generally all that’s required.
3). SSL Certificates are tied to Hosts/IP’s, so they would need to generate a new SSL Certificate for their domain.
4). Snapshots create a full-state backup, so it’ll be restored exactly as it was backed up.
5). You’ll lose the snapshot, but it wouldn’t bring down any of your Droplets or affect other configuration.