Corrected entry: Liam Neeson repeatedly asks the pilot to descend in order to minimize the impact of the bomb on board. The pilot is very reluctant about it, as he is requested to maintain his altitude. Eventually, the pilot says "F*** it" and goes into a radical nose-dive. The bomb explodes and the plane must do an emergency landing on the landing strip. However, the plane was supposed to land anyway there, so why was the pilot forbidden to descend? A normal landing, as opposed to the nose-dive, would require a lower altitude twenty minutes earlier anyway.
Corrected entry: A few problems at once: when the skinny guy with the glasses, who turns out to be the architect of this whole scheme, is being detained and pushed around by Liam Neeson on the plane, he manages to slip the mobile phone to the accountant and inject him with a lethal poison. All of which goes unnoticed by anybody. Later on, when Liam Neeson reviews the video clips a passenger made with his own mobile phone, the whole act is not really visible either, but it still convinces Liam Neeson that he is the villain. And the villain, without even really knowing what Liam Neeson is exactly seeing on the recorded clips, conveniently assumes that his cover has been blown now and decides to openly reveal himself as the antagonist.
Corrected entry: The authorities find out that the bank account where the ransom is to be wired belongs to Liam Neeson. So they immediately inform the pilot that their sky marshal is a potential terrorist and the pilot then notifies Liam Neeson about the results of their investigations. Authorities do not reveal what they have found out. Instead, they try to use their findings to their advantage and do not keep suspects updated.