The goof items below may give away important plot points.
The film features the historical Sonderkommando revolt of 7th October 1944 and therefore it should be autumn, but the green trees look more like in the summer. The director acknowledged that: "We were supposed to shoot it as an autumn film and we couldn't. So I had to endure the presence of spring elements in the film."
While on the run after the escape, Saul takes off his jacket to attempt digging another grave, and the entire back of his shirt is wet from sweat. Mere minutes later when he has to run again, his shirt is wet only near the center.