Are you talking about Rurouni Kenshin? No, Kaoru did not die. In Volume 24, we see what appears to be Kaoru's corpse. However, we soon learn that this was an corpse doll created from other corpses and carved into Kaoru's likeness. The real Kaoru was merely kidnapped, not killed. She lives to the very end of the manga.
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Chapter 63 (I think)
Nana to Kaoru
In the original anime series he doesn't show any sign of love to her...not sure about manga though...
There is never any evidence of him being gay in the anime or the manga. He and Kaoru just act like that to get girls to come to the club.
By the end of both the anime and the manga Inuyasha, Kagome doesn't die.