Plot hole: Cutting plastic explosive and disguising it as chewing gum wouldn't hide the smell from bomb sniffing dogs.
Plot hole: Lots of electronic devices, especially with a disc labeled "press here to detonate" will alert bag searchers for bomb parts.
Plot hole: The bad guys hide the bomb in the TV studio men's room - but any time the President of the U.S. is making an appearance in a public place, Secret Service agents would be posted inside the restrooms for the duration of the President's appearance, to prevent precisely what happens here.
