It's easy to remove and replace the broken hinge without removing the handle, just pull the handle as if opening the door out as far as it will go, wedge it with a bit of wood. There should be enough play at the broken hinge end to reach in with a stubby (two inch) philips head, or one of the cranked type screwdrivers, to remove the angled screw and replace the hinge. Fold the hinge shut and push the threaded shaft through the door. Stick a bit of Duct tap on the paintwork if your'e worried about scratches. When you've removed the glass, reconnect the window switch and lower the window cradle for better access to the inside nut. The ill fit of the card up at the interior handle/tweeter could be due to a popper not mating with the door frame, it helps to study the interior of the card and establish what shapes fit in what crevices. a popper or a trapped speaker cable can cause the card not to sit back right.