Hi @mats stenmark ,
the logs are located here: C:\ProgramData\Microsoft System Center 2012\Orchestrator\RunbookService.exe\Logs
I guess you'll find something with problems to connecting to database there. Update Rollup 2 requires new SQL driver (MSOLEDBSQL). For more information, see the Microsoft OLE DB driver for SQL Server topic on the Microsoft Learn website.
When it is installed run "Data Store Configuration" again.
If Management Server and Runbook Server is installed on the same system check that kb4569536_managementserver_x86.exe is installed. UR2 consists of kb4569536_managementserver_x86 kb4569536_runbookdesigner_x86 and kb4569536_runbookserver_x86.
If Mangement Service runs with the same account as Runbook Service I think there will be NO permission problems.