In Florida v. J.L. (2000), the Supreme Court suggested in dicta that an anonymous tip of a person with a firearm in a school or in an airport, or a person carrying a bomb would be sufficient to conduct a Terry Stop and Frisk.
A Terry search inside the sterile area would be almost impossible to justify. An officer can only perform a Terry search if he has some reason to suspect that you are armed. I'd replace 3 with "probable cause by an LEO."