Installed new pickup coil and the whole assembly feels like it moves too much.

Hey, everyone. Having a cranks/no spark issue and all the electronics are new, so I was thinking it may be the distributor. I installed a new pickup coil when I bought the car, and it stopped starting. I noticed that the gap had sort of grown and the coil/base plate assembly is pretty janky and I really wouldn't expect it to keep a fixed gap the way it moves around. Maybe I put it back together without a screw or something?