File Restore from Windows Server 2012 Essentials

I am working with a domain managed by a Server 2012 Essentials system.  All of the client systems are being backed up through the automated backup tool that is part of Essentials.  One of the client pc's has failed such that no data is recoverable from the PC.  The system will be replaced by a laptop.  I cannot find information on how to join the new laptop to the domain and then retrieve the backed up files.  

If the replacement was a similar class system then a bare metal restore would be viable.  if I was just repairing the old system then file restore works easily.  But I do not expect that a bare metal restore from a 5 year old desktop will work to a new laptop.  It appears that accessing the file restore is tied to the domain properties of the dead system.

Is there a way to retrieve the file backup to the new laptop?  

Thanks,

The Old hunter