In Mongolia, the escapees approach an arch decorated with photos of Stalin and a Mongolian leader. When they first see the arch, there is a band of local people coming toward them, led by a person mounted on an animal (probably a horse). However, as the escapees reach the arch, the local band has disappeared.
When they notice Janusz has left the Tibetan monastery and they call for him on the mountain ridge, K2 appears in the background, which is in the Karakorum mountains, far away from where the action rolls, near the Tibetan border with Nepal.
Janusz demonstrates a method using shadows of a stick and rock to find the compass direction of south. Yet, many of the scenes show them walking in a direction inconsistent with sun angles i.e. sun at their backs, which would have them walking north.
The original plan is to escape to Mongolia, but they discover it has a Communist government. But this government had been ruling since 1924. It is unlikely that not one of the escape party would have known this.