Goofs

When the blue car gets chased down the hill, it gets stopped abruptly by nothing but rocks. A minute later, a tree erupts right in front of the crashed car...

There is no way to tell a "deer rifle" from the report of the bullet alone. Many large game hunting rifles share calibers with military firearms, making it all but impossible to distinguish.

Incorrectly regarded as error: While the rifle fired appeared to be a 30-06 rifle, it was apparent to Jack that it was a bolt action, and thus, a hunting rifle, as only one shot was fired and not multiple shots as from a semi-automatic.

Ten minutes into the movie Angelina Jolie's character is pulled off the SUV before the chute is even halfway while the cords are still loose.

The dad wrote 2 sheets of paper with compromising information about illegal stuff and gave them to his son. While those papers would likely have been damaged and unreadable after getting wet when Hannah and Connor spent the night in the water near the end, Hannah did read the papers when she first met Connor. While it wasn't specifically shown in the film, it is entirely plausible that she would have told him what the papers said if they were unreadable by the time it was necessary to tell the media.

At about 55:00, Jack (Aidan Gillen) holds Ethan (John Bernthal) at rifle-point, his eye to the weapon's scope while a laser sight dances across Ethan's back. At night. Using a scope at such close range - even an enhanced vision scope - would be counterproductive, especially when the weapon is full-auto, and especially when a laser pointer is available. The scope would only obstruct vision - doubly so, since one eye is probably shut to avoid ambient light. This happens often in the film - it looks cool, but - much like tucking a pistol into one's waistband or belt - it's just a good way to get hurt.

The aircraft near the end of the movie is a DHC-6 Twin Otter with two PT6 turboprop engines and the soundtrack is of a single engine like a Cessna 172. Not even close.