To close the RemoteDrive main panel, simply click on the icon in the top menu.
If you want to quit RemoteDrive and you still have active connections, you’ll be asked to confirm.
By default RemoteDrive does not delete a file you drag and drop from a server, if you want you can change this behavior by deselecting the copy files on drag and drop checkbox you find in Settings > General.
Files that have not been downloaded locally can’t be found using a Search, including Spotlight.