When the rebels and Sonson, masquerading as SS soldiers, arrest the Hungarian police for abusing prisoners, the rifle one of the policemen was holding disappears between shots.
Immediately following the first escape from the prison by the male rebels, the rifle that one of the rebels carries changes between an SKS and a bolt-action rifle.
In the final ghetto battle, one of the German soldiers fires a panzerfaust, which causes an explosion on the ground in front of resistance fighters. The panzerfaust used a shaped-charge, firing a stream of molten metal inside a tank, and had no high explosive or fragmentation variant.
The German soldiers were not allowed to have relations with a Jewish girl or woman. As the German Captain said to Sonson. Not saying there were now and then. But for the most not allowed.
Many of the Hungarian soldiers in the movie are seen with the SKS rifle, made evident by the folding bayonet. While this rifle was eventually adopted by the Hungarian army, it did not enter service until several years after the war.