The only thing your translations miss is diction. For example, "I will remember you. I will come back for you." It's correct but in context, the equal English diction is something like, "I'll remember your name. We'll be speaking again." or "Chen Fei, huh? I'll be seeing you."
Doesn't want to kill? BULLSHIT! He should know better than anyone that he needs to kill, for the sake of protecting his loved one's he needs to slaughter all these trash.
Doesn't want to kill the murderer of his family, what a fucking joke.
If he doesn't kill, this series will probably turn into total garbage without any logic and plot armor thicker than your Mama!