During the scene on the nighttime tarmac where the two escorts meet the camera cuts back and forth between the marine and the soldier. In one of the cuts the Air Assault badge on the sergeants left breast pocket flap jumps from centered (which is correct) to right justified (which is not). When the camera cuts back to him it is realigned.
The coffin is loaded into a Northwest Airlines DC-9 in Philadelphia, but the plane shown landing in Minneapolis is a Boeing 747. When it's time to unload the coffin in Minneapolis, the plane is again an DC-9. The next day, the coffin is loaded into an MD-80 for the flight to Billings, Montana, but the plane that lands in Billings is a NWA Airbus A319. Again, when the coffin is unloaded in the cargo area at the Billings airport for the trip by hearse to Wyoming, it is removed from an DC-9. NWA does operate all three aircraft types, but they were not shown consistently in the movie.
Errors in geography
Military protocol says the casket will be loaded or carried feet first. During one of the scenes where they are loading the C-17 one of the caskets is being loaded with the blue of the American flag loaded first. The blue of the flag is always draped over the head/shoulder indicating the head is being loaded first.