John, thanks for responding!
Regarding ""connection details the BP service"" - It should be right as i can start service manually.
Regarding ""Could it be that SQL is not yet ready""
So, I've just restarted the server again to see the order of services that was started. Windows logs are the following:
11.13.38 - SQL Server is now ready for client connections. This is an informational message; no user action is required.
11.14.08 - Starting up database 'blueprism'.
11.14.09 - Service cannot be started. BluePrism.BPCoreLib.InvalidStateException...
We can see that BP server is trying to connect after database is became ready.