Can't import photo media from Backup

Instead of importing, go directly to your backup you made (not the TimeMachine files). There you'll need to navigate to your user folder (home) then go into the Pictures folder and copy it over to your system (you'll want to rename your current picture folder first). Also make sure you're not connected to the network yet (WiFi or Ethernet) as you don't what the iCloud files altered.

Once its there you should be able to launch Photo's and see what you have. Are they all there? If not you'll need to use this approach to copy off each discreet snap from within the Time Machine backup. Again rename the folder until you have everything recovered. Then merge the folders back into one Pictures folder.