When the family approaching the group of naked people on the highway, it's daytime. As they exit the group, it's dusk.
A defibrillator is shown being applied over a shirt. This would not work. Defibrillators need to be in direct contact with skin when a shock is delivered.
When Jill comes out of the lake to see Matilda in the company of two police officers, the daughter sits up and cough up water. One officer says that Matilda "was out for about a minute," yet neither officer performs CPR, nor turns Matilda on her side to help her expel the water she has swallowed.
When siphoning fuel from a tractor, it would be pink (farm use) diesel fuel and would disable the car they were driving.
Near the end, the man in the Coast Guard had metal Insignias on his collar, and shoulder board attachments on his shirt. Coast Guard Chiefs have sewn on Insignias and no shoulder boards.
After one sees the US Coast Guardsmen, there is a soldier lying dead in the driveway. He is wearing a US flag patch attached to the front of his uniform, but positioned backwards.
The incident causes numerous accidents and hospital admissions surge, yet it takes a young girl to catch on that the 'cure' is very short term cardiac arrest and resuscitation. This wouldn't have gone unnoticed in hospitals or elder care homes.
Near the end of the movie, it's unexplained why a member of the US Coast Guard is present in full uniform.
At the beginning of the movie, JIll's son Noah looks up at the night sky and notes the many shooting stars appearing. But Jill claims that they're actually satellites coming down to Earth. There would be no way that Jill could tell the difference with just the naked eye.