Sentence 1 would be okay as "A well-known singer is reputed to drink a bottle of whisky before every concert." The present perfect continuous doesn't work because the sentence describes a habitual action, not a continual one.
Sentence 2 describes a one-time event. Reputed to means "has a reputation for"; that is, people say the person habitually does what they're reputed to do. You could write "A Hollywood film director is reputed to have driven onlookers away whenever he was shooting."
Sentence 3 is okay.
Student or Learner