In answer to your questions:
1. You can use the native WordPress exporter which will be in the admin dashboard as with any other WordPress theme :)
2. You can find plugins for this purpose if you're looking to back up your site, but generally, you shouldn't expect to lose your settings in the process of an update (a backup is still recommended)
3. If you don't want the map to appear on ad listing pages, you can create a custom listing form which doesn't include location fields, then the map won't appear. Thanks.