ES File Explorer Remote Manager is gone?
Its not, in newer versions of the application it is located under Network → View on PC;
and it can be started/stopped using the interface provided under that option:

    

Alternatively pulling down the notification also brings you to the interface where you can stop the server.

The other FTP option you mentioned is not an FTP sever instead it is an FTP client that allows you to view the shared folders (from other devices/servers) via FTP.