Incorrect regarding Airplay
Agreed, The Beatles didn't instantly become famous and suddenly get "airplay" when they landed in America in Feb 1964, the publicity machine was already trying to get bums on seats in the last months of 1963.
The night before the assassination, The Beatles had conquered CBS News with a very long and positive advertorial and were in the process of creating a huge groundswell of interest for their imminent arrival.
Here's the Beatles in America and they were already famous enough for this over the top airport welcome.
And finally Ultimate Classic Rock found Beatles songs that charted @ US Radio stations as early as March 1963.
http://ultimateclassicrock.com/beatles-first-radio-airplay/JohnM