You can see Kiefer's black boxer shorts when Jack is being shocked.
It is unlikely that Jack could be up and around, killing bad guys about 20 minutes after his heart stopped. The torture alone would put anyone in a bind for a while.
Mike is seen using a sat-phone inside. This would not work as sat-phones need a clear view of the sky to operate unless plugged in to an external aerial, which it is not.
The DVD has a voiceover commentary of the entire episode by 24 creator/writer Joel Surnow and actor Kiefer Sutherland. Vice President Jim Prescott appears at the start of a closed Cabinet meeting. At that point, Surnow says: "This is his Cabinet," referring to Prescott (at 0:41:23). That statement is false. President David Palmer heads the Cabinet. Prescott is one of several Members of the President's Cabinet.
If Lynne set off the smoke alarm, wouldn't the building have to be evacuated?