When Jack gets out of the car at the auto shop with his "tool bag", the camera drifts down and revels a square, tattered hole in his Levis. On the long shot showing him walking up to the door and into the shop, the hole is magically missing.
When Jack is sitting in CTU discussing Marshall Goren he asks where is "Coren" being held.
At the beginning, President Palmer is fishing in a wilderness-surrounded lake identified as Lake Oswego, Oregon. The real Lake Oswego is a city, a suburb of Portland. It surrounds Oswego Lake (the body of water) on all sides, with the shores mostly filled with homes and a few businesses.