Henry Hudson's initial voyages which were not successful in finding the northern passage are important as they set the stage for his later explorations. His decision to sail on the 'Half Moon' in 1609 was crucial as it led to the exploration of the Hudson River. His interactions with the native people during his travels added to the knowledge of the area. And of course, the mutiny on his fourth voyage in Hudson Bay, which was a result of the crew's discontent, was a key and tragic event in his life.
One key event was his third voyage in 1609. He explored the Hudson River. Another important event was the mutiny on his fourth voyage. That was a turning point and led to his death.
The first key event was when he started his exploration attempts for the northern passage. His voyages for the Muscovy Company were also significant. Then, his discovery of the Hudson River was a major event as it changed the understanding of the geography in that area. Finally, the mutiny on his ship which ended his life was a crucial and tragic part of his life story.