I'm going to cut ties with my cousin
Did something happen that made you feel the need to cut ties?
He's a loser and a pathetic guy. He can't hold a decent job and he pisses off everyone.
It's not morally right to cut someone out of your life for no good reason, especially family.  Family is valuable, and you can't take it for granted so instead of cutting your cousin out of your life, try to help him.  If you help your cousin instead, you two could find some common ground and build a strong relationship.
He sucks. He is a loser.
I get that you are mad at him but I would still try to talk through your issues. I think that it is disloyal to cut ties with a family member without trying.