At 2:00, Max approaches the front door of the Monetti Trust and Loan building. A young woman wearing a beret and a vertically-striped jacket steps out of the door, makes a right turn (from Max's perspective), and continues to walk until she disappears into the right side of the frame. 15 seconds later, the same woman is seen walking in front of the same building--again from Max's left to to his right--as if she had never been inside.
Warning: Plot giveaway (Was not given the option) When Max & Joe are taken to the balcony to be thrown off, and presumably killed, Max later exits house, he only goes down a SINGLE flight to the street level. That would put balcony on the SECOND floor, hardly high enough to ensure someone thrown a distance of about twenty feet would die.
In flashbacks dating back to 1932, Irene wears hairstyles and clothing that are not significantly different from the fashionable look she sports during the 1939 framing story, 7 years later, and all of which are strictly in the significantly different mode of 1949, the year the film was made. Likewise, the men's fashions, particularly the bulky extremely broad shouldered suits, are all strictly 1949, and not the more closely tailored styles of the 1930s.
As Max, Joe, and Pietro Monetti are fighting to the death on the balcony, with Max desperately trying to prevent Pietro from throwing Joe off, Tony Monetti (Efrem Zimbalist, Jr.) stands passively in the background with no expression on his face as though a mannequin. One would think he would be fully involved in the struggle as these are all his brothers, or at least be expressing some emotion.