I think I may have figured this out, but I need a bit of help.
It seems that the kids didn't do as much damage to the shutter as I previously thought. there's a couple of rips, but I can seal those with tape if I need to. The issue I'm having, though, is that the shutter switch seems frozen.
That one there on the side. As you can see, the shutter is relatively smooth. If I get a new back, I could get this thing working if I can get the shutter trip lever unstuck.