Corrected entry: Jack is not able to shoot Kingsley himself as he has no bullets left in the gun. But Kingsley doesn't know this so why on earth does he simply keep walking at a snails pace while Jack picks up what could be a loaded gun? Even when Jack aims it at him he doesn't think it might be a good idea to move. This is simple logic and goes way beyond a character mistake.
Corrected entry: Palmer's attorney tells Mike that he found a record of phone calls from Peter Kingsley to Jonathon Wallace, as recently as six hours ago. This means that the last call would have been made at about 1:04 am, just as Wallace was in a major shoot-out and had no way to talk on the phone.
Corrected entry: At the end of Season Two, we see President Palmer reacting to the poison in his hand. Why did the Secret Service let Palmer fall to the ground and instead started pulling their guns out while no shots were fired? Why didn't they shove him inside the limousine to take him to the nearest hospital, isn't it protocol to know every local hospital as part of route planning? Why wasn't there a full medical complement as part of the presidential entourage?
Corrected entry: How does the assassin at the end of the second series, know where David Palmer will be? The mystery man who orders the attack seems to suggest that it is a pre-planned move, but Palmer only flew to Los Angeles after the bomb went off - and did not make any press statements after that, before he was impounded so the public would be unaware that Palmer was in LA. Furthermore, since the man in charge knew a bomb was going to go off, why would he leave the agent for his back-up plan, inside Los Angeles?