I'm so relieved to hear that socks is back.
What I have done to keep my kitties from pushing out the screens is, I goto home depot and get a couple of those screen patches about 4x4. Metal is better, as fiberglass has a tendency to give way easily. I attach a piece of strong cord or wire to the center of the screen patch. Then I sew the patches top and bottom to the screen (really easy, the holes are already there (dental floss works really well for this)
Finally I anchor the string or wire to a small nail or screw mounted to the drywall. This way, even if the kitties manage to dislodge the screen, the cord holds the screen in place. When moving out, I just take a lighter and burn away the stiches holding the patch into place.