If you need to make a name change to the server that is installed with your veeam backup and recovery software there are a couple things you will need to change if you don't want to uninstall and reinstall the software.
For the Backup Service you need to change these two registry keys
Veeam refers to the local computer name in a couple of registry entries and promptly stopped working.
The keys for the backup service are:
HKLM\SOFTWARE\Veeam\Veeam Backup and Replication\SqlServerName
HKLM\SOFTWARE\Veeam\Veeam Backup Catalog\CatalogSharedFolderPath
For the SQL database service it is in
HKLM\SOFTWARE\Microsoft\MSSQLServer\LASTCONNECT
