The chime plunger is a fairly common part for EM machines. I'm not sure if the screw is how this one comes, or if it was an attempt to fix this one. You should be able to find an appropriate replacement/substitute at the usual places - just have to get one of similar length.
On EM machines I think the stop it usually just a rubber grommet. Should be available at the local hardware store.
The link below will show examples of similar item used on EM pinballs. You might also find a nylon replacement for the metal sleeve if the one in the coil isn't long enough.