Unable to restore backup taken on one server onto another server
No backup set selected to be restored


As SqlBak Blog  Here the above error comes in two scenario.


  1)You are trying to restore your database to a lower version of SQL
  Server. If you make a database backup on a higher version, let’s say
  SQL Server 2012 and then you try to restore it on SQL Server 2004, you
  will get this error message: No Backupset Selected to be Restored.
  
  2)The backup file is unreadable or corrupted. You can simply check
  your database backup using the following command:


RESTORE HEADERONLY FROM DISK='D:/DatabaseBackupFileName.bak';


I think as my knowledge it's a incomplete error message.  Because most of the time along with Msg 3013, Level 16, State 1, Line 3, the operating system errors  (like Operating system Error 3,5 etc) or some  error come.


  Msg 3013, Level 16, State 1, Line 3 RESTORE DATABASE is terminating
  abnormally.


For this error i would recommend to Pinal Dave blog Here,Here and MSDN Blog Here

Even  Remus Rusanu answer also in dbastackstange related to Network drive with same error message Here