When Catherine lights the letters on fire, they are at first away from her dress, but in the next shot they are burning on top of her dress.
When Jim has to return to Paris after his long stay, he jumps onto a train where the locomotive pulls two passenger cars and a cargo carriage (in that order) out of the station. After the cut to a longer aerial shot, it is pulling a cargo carriage and three passenger cars.
When Jim arrives by train at Jim and Catherine's house in Germany, a shot from the air depicts a French (SNCF) train. When the train arrives in the station in the next shot, the SNCF logo is hidden from sight.
(at around 35 mins) A train, marked SNCF, is shown. It is supposed to be just after WWI (The girl, Sabine, is very young.), but the SNCF was founded in 1937, which was many years afterward.
When Jim recites La Marseillaise, the sound doesn't quite match up to the way that his lips are moving.