You need to replace your upper/top LCD to resolve the white screen problem. The integrity of the LCD ribbon cable has been compromised due to the broken hinge and the ribbon cable is permanently attached to the LCD. For a permanent fix you also need to replace the shell/case/housing or the LCD cable will soon be damaged again.
Bottom line replace the upper LCD and the what ever is broken on the hinge. Don't try to glue what is broken on the hinge. You will cause more problems in the long run.