The US military, specifically the Air Force as was depicted, cannot be used to assist law enforcement in apprehending fugitives leaving the country via aircraft. The Posse Comitatus Act of 1878 makes it generally unlawful to use the military for law enforcement functions.
Around seven minutes in Brian is piecing together shredded documents, which results in paper fringes several feet long. They should be only 11 or 14 inches long, depending on whether they were letter- or legal-size pages.
When speaking of disgraced Communist artist Albert Harvey Brian says he ran afoul of HUAC (the House Committee on Un-American Activities). The slide he shows is of Senator Joseph McCarthy. McCarthy came to the Senate from a judgeship, was never in the House, and never a part of HUAC.
In the intro it is said that Brian used to be an average "28-year-old." There is a flashback to "8-year-old" Brian watching the 1998 winter games. That would/should make Brian's birthdate 1989-1990, not 1987 as the intro suggests.