Other mistake: After the early truck chase, Axel arrives at the police station. He walks through a glass door that reads 'Investigaton Operations Division' which is missing the last 'i' in the first word, exactly as I've typed it here. (00:08:10)
Other mistake: The bit part actor who plays one of Rosewood and Taggart's colleagues on the force is credited as "Owensby" on his desk sign (in the scene where Bogomil is asking where everybody is) and as "Owenby" on the end credits.
Other mistake: If Rand was responsible for investigating homicides in Detroit, it is doubtful that he could have stayed behind a desk for 12 years.
Other mistake: When Maitland shoots Axel in his house, he has a large calibre hand gun. The shot was in Axel's right arm, just below the shoulder, apparently straight on, as only one hole is seen. The hole was way too small for the size gun and should have easily penetrated into his lungs making it difficult for Axel to breathe. It also would have damaged the bone in his arm making it impossible for him to use it.
Suggested correction: Depends on the ammo being used. Maitland seems to be firing a .357 Magnum revolver.