Earlier in the episode, Mr. DeCarlo is telling Antonio about his old driver and how he worked for him for 15 years. As Antonio comes to believe that his boss is a mobster, he tells Joe and Brian that Mr. DeCarlo had his last driver killed when he wanted to quit. Brian then says "yeah, but that other guy was working for him for 15 years, you've only been working for him for a couple weeks", but Antonio never specified how long the previous driver had actually worked for.
Antonio's suit jacket is unbuttoned when he comes into Joe and Brian's office. A while later, it's buttoned.
Claire orders a cup of coffee to go from Helen's lunch counter. Helen hands her a big paper bag. Obviously unnecessary for one cup of coffee.