It appears that you have made a backup via Windows and not via the integrated backup/restore process in the organizer. Since the albums and tagging are stored in catalogs, they are lost unless you also made a backup of the catalogs themselves.
The correct way to move your catalog(s) and images to a new computer:
https://helpx.adobe.com/photoshop-elements/kb/backup-restore-move-catalog-photoshop.html
Is your old computer still useable ?