Inuyasha was a Japanese manga series created by Rumiko Takahashi and started in 1993. The story was about Inuyasha and the other characters searching for the Jade of Four Souls. The work was deeply loved by Japanese anime lovers and was translated into many languages and popular all over the world.
As far as I know, Kagura is still alive in the Boruto manga. The story hasn't depicted her death yet. Maybe there will be developments in future chapters, but for now, she's safe.
It's quite close. The anime of Inuyasha largely adheres to the manga, with only a few minor differences that don't significantly impact the main plot or characters.
The Inuyasha manga ends with a resolution of the main conflicts and a sense of closure for the characters. Inuyasha and Kagome's relationship reaches a fulfilling point, and the threats they faced are overcome.