In alternating shots, the man holding the microphone on the balcony is either covering it with his hat or holding it out in the open.
At the end, some men run into the Island In The Sky elevator and the door quickly slams shut before the chasers can stop it. Elevator doors never slam shut, they close rather slowly.
The policeman says that they have tested the gun found near the body for fingerprints but there is no mention of their having tested whether it was recently fired (the owner says that he last fired it a week ago).
When Gloria Stuart wakes up in the hospital after several days of unconsciousness, she is wearing false eyelashes and shiny lipstick.