Revealing mistake: When Syd's Dad rescues her in the car park, he starts shooting at the other car. After firing one shot the slide of his gun locks back (indicating it's out of bullets), but when the angle changes he carries on firing with no problems. (00:43:20)
Revealing mistake: When Sydney and her father go into the office to talk, the office doors begin to close before Sydney uses the remote to close them. (00:13:00)
Answer: Bad Day by R.E.M.