Continuity mistake: After Mary slams Grace's face into the table, the blood on her face keeps changing size and shape.
Continuity mistake: In the scene where Ethan Hawke is talking through the safety glass in the barricade to the polite leader of the gang outside, the leader shoots the loud-mouth guy standing to the right of him, using the pistol in his left hand across his chest. Immediately after that they show a top shot of him dropping his right hand holding the gun. (00:46:00)
Continuity mistake: Near the end of the movie as the family is about to be killed by the neighbors Dwayne comes in and shoots Mr Cali, then grabs Grace around the neck. You can plainly see her hands as they hold Dwayne's arm and they are empty, then just before he lets her go a knife suddenly appears in Grace's hand. The knife then vanishes when he lets her go. (01:14:55)
Continuity mistake: When the mother is pressing the letter opener to the homeless man's wound, the girl wakes up from being knocked out. She sees what her mother is doing, and begins to cry. A tear runs down her eye and across her nose. A little bit later, it shows her again. She has not moved at all, but now her face is dry with no sign of the previous tear or any others.
Answer: The only information the original script offers is the company that took over the government, their name is "Arcon". Other than that, there is no other specific name nor is there an answer to what kind of company Arcon really is.