Revealing mistake: When Charlie turns and sees Michael after futzing with the garbage disposal, it's obvious that Michael's mask is a (rather poor) CGI creation. It looks very cartoonish and unlike the way it looks in the rest of the film. The scene was shot early in production with an original mask that eventually was tossed out for the final design when producers thought it didn't quite look right. Because Michael was in a medium-closeup shot and they didn't have time to reshoot the scene, they opted to (somewhat obviously) digitally replace the mask.
Revealing mistake: Visible wires holding up Will when Michael holds him in the air.
Chosen answer: There is no answer to that. Its simply bad work by the writers. They never tried to explain that. You could perhaps assume shock had prevented the paramedic from immediately taking the mask off. Unlikely though,.