Character mistake: Hicox claims to be from around Piz Bün to explain his strange accent. However, Piz Bün isn't even in Germany and nobody around there spoke German at all. Yet nobody reacts. It's very weird that Hellström, being a German officer, would not know the borders of his own country.
Suggested correction: A lot of Germans come from Austria, or lived in Austria. To the Nazis, Austria is part of Germany. Hitler was born in Austria too.
Other mistake: At the very beginning, the first cut to Mr Lapadite he has an axe in his hand, ready to strike (and we heard two strike sounds before), but there is no log to cut. (00:03:17)
Suggested correction: He is cutting the stump. We see him actively cut it too, not only ready to strike.