I'm going to refuse to talk to the other half of my family after one of them attempted suicide and blamed me for it
Why do you want to cut them off like that?
It was so cruel and they were thoughtless
Suicide is a very serious situation, and everyone is full of stress. I understand feeling frustrated at them blaming you, but they are going through an extremely difficult time right now and need your support. If you talk to your family about the situation you can find out why they blamed you for the suicide attempt, and then you can explain your side of things.
Why do they deserve to be comforted?
Because they are your family. These are the people who care about you most and who you should be caring for.