Short answers, pulled from the story.
Paul McCartney wrote Hey Jude to comfort five-year-old Julian Lennon during the separation of his parents John and Cynthia in May 1968. The song was originally titled Hey Jules before McCartney changed it to sound better.
The Beatles recorded the master track for Hey Jude at Trident Studios on the 31st of July 1968. They had previously taped 25 takes at EMI Studios over two nights, the 29th and the 30th of July 1968.
McCartney and Francie Schwartz painted Hey Jude Revolution across the shop windows on the 7th or the 8th of August 1968 after the boutique closed. The words were mistaken for antisemitic graffiti because Jude means Jew in German, leading to complaints from the local Jewish community and the windows being smashed by a passer-by.
The verse-bridge structure persists for approximately three minutes before the band leads into a four-minute-long coda. This extended ending consists of nineteen rounds of the song's double plagal cadence with an orchestra providing backing vocals.
Michael Lindsay-Hogg directed the promotional clip for Hey Jude which was shot at Twickenham Film Studios on the 4th of September 1968. The final edit included introductions by David Frost and Cliff Richard for their respective TV programmes.