As Matt is running down the beach when Brian approaches, the beach is "natural". As Brian passes, the beach over Matt's shoulder has been raked, specifically where Brian is running. As Matt turns and chases Brian, the beach is "natural" again.
At the movie's end, Matt & his daughters watch a documentary in which the commentary implies that Antarctica became covered in ice because it moved south due to tectonic drift. Although no longer a tropical paradise, Antarctica remained forested until as recently as 20 million years ago, after its final separation from South America created a circumpolar ocean current which isolated the continent's weather.
When Matt meets Brian for the first time in the beach house, Brian is wearing a blue and white checkered shirt. While talking alone in the kitchen, the back collar of the shirt alternates between down and folded up between shots.
The door next to Elizabeth's room is almost closed after Alex comes out. When Alex goes back into the room with Scottie, the door is more open and a blue dispenser bottle is next to a small white hand towel.
After Julie has left the hospital room and Matt is looking at Elizabeth, her right hand is away from her left. In the next shot, from behind Elizabeth, her right hand is turned closer to her left, even though she can't move her hands.
When Matt approaches Julie as she stands on the beach watching her kids, her hands are on her hips, with her thumbs facing forward. After Matt comments the kids are a handful, her hands are still on her hips but her thumbs are facing backward.
Early in the film, there is talk about donating Elizabeth's organs. If they really intended to do that, she wouldn't have been taken off of the ventilator, causing permanent hypoxic damage to the organs. Instead, she would've been declared brain dead, the organs would've been harvested soon after, then she would have been disconnected from the vent.