In the first scene, Sarah lies on her left side and faces Michel who is lying on his right side, facing each other. This means Sarah is on the left side of the bed. When they throw the blankets of, Sarah suddenly lies at the right side of the bed.
The cab that Julia gets into has a medallion number of 1M11. The one she gets out of has a medallion number of 7H83.
In the restaurant scene at the end, the Quinn character is seen with his hand over his face. Cut to the child standing in front of glass which reflects Quinn looking straight ahead. Cut back to Quinn with his hand over his face.
During the dance scene with Sarah and her future husband, the music playing is a trumpet muted. The band shown have their trumpets un-muted, which would sound like a normal trumpet.
Towards the end of the film, Kristin Scott-Thomas is talking to a woman of Italian origin. That lady is talking about 'Florence'. Italians always refer Florence as 'Firenze' , even in other languages.
(at around 1h 34 min) William finds the key to the closet in his mom's diary. But when Sarah opened the closet back in 1942, she left the key in the lock and was immediately taken away by her stepfather. So there is no way that she would still have the key.
It would soon have become evident that Sarah's Jewish family would not be returning to their apartment, and either the landlord or the neighbors would no doubt have entered the premises to seize whatever items of value they could find. The closet in which Sarah's brother was locked would certainly have been inspected and the boy, whether alive or dead, would have been found and removed. Yet when Sarah's returns to the apartment weeks later after escaping from a detention camp, she finds her brother's body in the closet. The apartment had been occupied by another family for some time and the viewers are asked to believe that they never bothered to open the closet either.
It was madness for Sarah to throw her little brother into a locked closet when her Jewish family was rounded up, since he could have easily suffocated if the family was not able to return home right away, which proved to be the case, resulting in her little brother's death. Since the family did not know if they could ever return to their apartment, the best course of action would have been to keep the child with the family.