The Original Series crew dealing with your death would involve:
James Kirk: Would probably blame himself for not being able to keep you safe. And would definitely not rest until there’s some kind of justice or explanation for your death that he approves of. And after everything settles down, there’s still a sense of guilt that he wasn’t able to save a member of his crew; especially someone so close to him
Spock: He’s not completely emotionless, especially when it comes to the people he cares about or feels loyal to. I think he would act like Kirk in the sense that he won’t stop and he’ll do anything to assure you get justice, because you should at least get that.
Leonard McCoy: Gets a bit angry at the universe. Angry at himself cause dammit, he should have been able to do more. Bones always compartmentalizes his feelings when he can’t save a patient, but there’s a reason why doctors shouldn’t operate on those close to them. Because he’ll definitely blame himself
Nyota Uhura: Is the one who will mostly be like “we should remember the good times” but when people start talking about the good times, she’ll get sad and emotional. Very reminiscent and would dread when everyone eventually moves on
Scotty: Will probably be real grumpy. And not just old-man-in-a-bad-mood grumpy. Kirk has to talk to him and tell him to stop snapping at his people when they do something wrong. It’d be best not to talk about you until he’s healed up a bit
Hikaru Sulu: Much like Uhura, he might try to keep things light during the times after you’re gone. If the conversation switches over to you and people get down, he’s quick to change the subject because he doesn’t think people should be sad when talking about you.
Pavel Chekov: Tries to act professional but ultimately needs a hug from someone. Starfleet can be a dangerous occupation, he knows this. People die. But he just never thought you would die. He wasn’t prepared for it to happen, so that just made the blow that much harder.
Requested by Anon~