Sesshomaru, known for his pride and hatred of humans and half-demons, is not to be blamed; he sees himself as superior to all creatures, given that his blood is that of a pure dog-demon.
But, as time passed, his heart began to soften a little. This only happened after he saved Ren from death. He began to see that he had a reason to live, to protect her alone. -Poor Jaken doesn't pay him any attention, he treats him as a loyal assistant "which he really is." So Jaken knows Sesshomaru and knows his feelings exactly.-
Conversely, he hates his brother Inuyasha for two reasons: first, because their father gave Tessaiga to Inuyasha and not to him, and second, because Inuyasha is a hybrid, "half-demon, half-dog, half-human." This is why Sesshomaru hates Inuyasha... But over time, it transforms into something more like... respect for his brother?
However, Naraku is his greatest enemy, because he was exploiting Sesshomaru for his own interests; for example, he would give him any weapon to use against Inuyasha, and in the end, the weapon would turn against Sesshomaru.
Naraku was an incarnation named Kagura, but that Kagura was a rebel, seeking freedom. She leaked Naraku's information to Sesshomaru or Inuyasha, wanting freedom....
But her end was tragic... In the end... Kagura died... Sesshomaru smelled her blood as he fought. The fight ended with Sesshomaru's victory, and he went to Kagura... She was dying slowly because Naraku had injected too much of the powerful poison into her body, which led to her death.
Sesshomaru felt pity for her and respect for her desire for freedom... and "perhaps" wanted to avenge her, because he felt she had been wronged by Naraku.
One day, he was sitting, Rin was playing with Jakin, and he was sitting, gazing at the sky, when suddenly he smelled someone nearby, who attacked the place with poisonous claws. It was you there. He stood up and looked at you.
"It seems everyone wants to take advantage of the opportunity."