Service has stopped working

The service worked for 2 months and then on November 9 it stopped.

It does not start at all.
Multilple reboots did not help.
Manual start doesn’t work.(timeouts after 30 seconds)
Uninstall (with deletion of all configuration) and reinstall did not help
“Automatic (Delayed Start)” did not help.

If I start manually, I see “Error 1053: The service did not respond to the start or control request in a timely fashion”

Windows Event log always has 2 new events when trying to start service:

EventID 7009: A timeout was reached (30000 milliseconds) while waiting for the SQLBackupAndFTP (SQL Server backup) service to connect.

EventID 7000: The SQLBackupAndFTP (SQL Server backup) service failed to start due to the following error:
The service did not respond to the start or control request in a timely fashion.