1. The tickets were paid for and no attempt was made to stop the minors from viewing the movie. Ratings exist as suggestions to parents as to what they can let their children watch. Minors are able to buy PG-13 tickets without the need of a minor because the ESRB says:
Parents Strongly Cautioned. Some material may be inappropriate for children under 13. This signifies that the film rated may be inappropriate for pre-teens. Parents should be especially careful about letting their younger children attend. Rough or persistent violence is absent; sexually-oriented nudity is generally absent; some scenes of drug use may be seen; one use of the harsher sexually derived words may be heard.
The only time a barring of minors is stated is with R ratings:
Restricted-Under 17 requires accompanying parent or adult guardian (age varies in some locations). This signifies that the rating board has concluded that the film rated contains some adult material. Parents are urged to learn more about the film before taking their children to see it. An R may be assigned due to, among other things, a film's use of language, theme, violence, sex or its portrayal of drug use.
So, while the theater is a private establishment that may deny
admission to anyone, there is no "legal" reason as to why considering the rating system. I doubt that any manager, no matter how stringent, would deny the rest of the patrons a chance to see the film because he thinks he's being the better parent.
2: No, the video is private property and Man B has no claim to it regardless of what the video contains. He would need a court order to get the video from Man A. If the police request the video from Man A, he has to surrender it.
3: The aircraft is still U.S. Navy property, regardless of if they dod not attempt to retrieve the aircraft. Legally, the person who salvaged the aircraft has to petition the government to acquire the legal right to the aircraft. If they do not do so, then they are illegally attempting to sell government property. If someone steals my car and drives it into a ditch, but I make no attempt to recover it, the vehicle is still mine even if someone finds the car months later, fixes it, and then tries to sell it. Same principle. The salvager would have to "buy" the aircraft from the government.