Short answers, pulled from the story.
Demon Slayer: Kimetsu no Yaiba The Movie Mugen Train was released on the 16th of October 2020. The film opened in 403 cinemas total, including all 38 IMAX cinemas within Japan, and had a staggered international release from the 30th of October 2020 in Taiwan to the 13th of August 2021 in India.
Haruo Sotozaki directed Demon Slayer: Kimetsu no Yaiba The Movie Mugen Train. He received the Best Director award at the 45th Elan d'or Awards for his work on the film, which was produced by Ufotable using staff from the anime television series.
Demon Slayer: Kimetsu no Yaiba The Movie Mugen Train grossed over 512.7 million dollars worldwide. It sold more than 41 million tickets and became the highest-grossing film of 2020, marking the first time a non-American production topped the annual worldwide box office.
Demon Slayer: Kimetsu no Yaiba The Movie Mugen Train won Animation of the Year at the 44th Japan Academy Film Prize and Best Film at the 6th Crunchyroll Anime Awards. The film also received Best Picture Award at the 15th Asian Film Awards and Best Motion Picture, Animated or Mixed Media at the 25th Satellite Awards.
Kyojuro Rengoku dies in Demon Slayer: Kimetsu no Yaiba The Movie Mugen Train after being fatally injured by Upper Rank Three Akaza. He impales his solar plexus while trying to restrain Akaza until sunrise, and he succumbs to his injuries before reuniting with his mother in the afterlife.
Demon Slayer: Kimetsu no Yaiba To the Hashira Training was released on the 2nd of February 2024. This film is set after the events of the third season and follows the release of Demon Slayer: Kimetsu no Yaiba To the Swordsmith Village on the 3rd of February 2023.