After changing the name of a server, in the Log Shipping wizard, it still references the old name.
When executing it, the following error appears
Log Shipping - The Speciifed @server_name ('<servername>') does not exist
RESOLUTION
Select [ServerName]
, [DisplayName]
From
[Litespeed].[dbo].[LitespeedServer]
change where needed.
Also check SERVERPROPERTY
The name here should match what is seen in the table from the above select
If not use ..
sp_dropserver @server='<old server name>'
sp_addserver '<new server name>', local