When Danvers walks in to check on Leah she is carrying clothes that she puts down. When she leaves the room she is carrying a cup with a tea bag. If she picked it up in the room it wasn't shown.
When Danvers lets Navarro in, at her front door, it is clearly daylight outside, although it is Dec. 25th and supposed to be the 8th day of constant darkness.
Hank Prior is seen watching an airplane disembark at Ennis Airport. The aircraft belongs to the airline Norlandair which only flies between Greenland and Iceland.
Most smartphones will have GPS locations/coordinates attached to the details of each video/photo taken by the device. This should have at least been checked to try and identify the location of the ice cave in the video.