Short answers, pulled from the story.
The Beatles arrived very early in the morning of the 17th of August 1960. They traveled to the St. Pauli area of Hamburg after Allan Williams booked them into Bruno Koschmider's Indra club starting on the 12th of August 1960.
Paul McCartney and Pete Best were arrested for attempted arson on the 29th of November 1960. They set fire to a condom attached to a nail in their room at the Bambi Kino to create light while retrieving their belongings as a snub against Bruno Koschmider.
The group used Preludin which was a successor of Pervitin to stay awake during long performances. Astrid Kirchherr supplied the drug and it was also available through local chemists without a prescription alongside Dexedrine.
Astrid Kirchherr is credited with inventing the Beatles' moptop haircut although she personally disagreed with the claim. She stated that Stuart Sutcliffe got his hair cut by her after seeing Klaus Voormann wear the hairstyle.
The Beatles returned to play at the Star-Club from the 13th of April to the 31st of May 1962. They made a second visit from the 14th of November 1962 until the 31st of December 1962.