At one point the crew spots a bobcat, a strictly North American animal that would not be present in the Alps.
The group of scientists hiking to the remote mountain camp are seen walking on fresh snow with many footprints and even tire tracks. Apparently the remote camp isn't all that "remote".
Oddly, being a film composed of "found footage", most all the "scratches" seen on the footage are identical. Damage to actual old film would have a huge variety of shapes and sizes. Making it rather obvious after the first few minutes that the "scratches" on the film are just post-production editing.
When they first set up camp, Daniel hands Melissa a can of food straight from a gas stove, telling her it is ready. Both handle the tin with bare hands, so it is clearly not hot.
When Melissa and Daniel first arrive at the village, you can see the label on her jeans. She's wearing Mudd jeans, an American brand founded in 1995, well after the 1976 date given for the film's events.
It is stated early on that the remote mountain camp is so deep in the mountains that it has to receive new food and supplies via helicopter delivery every two weeks. Yet the scientists going to the camp decide to spend several days hiking there, up the steep and rugged mountain terrain.
A much simpler and more logical decision would be for them to be flown in when the next load of supplies is delivered.
An experienced mountain guide should know not to drink alcohol under cold weather conditions. The body core temperature is lowered through blood going to the extremities.
Though the group of scientists are being escorted to the mountain camp by an "experienced guide", he has them make several errors during camping overnight.
For example, he has them set up their tents directly on snow, instead of on large leaf-covered patches of ground, which would be a warmer location.
Also, when he announced that a blizzard is coming in, he has them set up their tents right out in the open. There are several tree-covered areas just yards away which would protect their tents (and themselves) much better from the blizzards winds and heavy snowfall.