Early in the movie, the vice officer encourages the man he's arrested to run and then shoots him several times in the back and kills him. The arresting officers know him by name and the shooting would be unjustified. The second officer comes on the scene and instead of asking for witnesses to the shooting he sends everyone away.
Mamie accepts the mob boss's business and pleasure offer and is set up in a fancy apartment. The bedroom in the love nest ridiculously has two twin beds.