Life has a way of sending you a message. I'm sorry you have such a crazy family, but they obviously see something in you. Same for your friends. Why wouldn't someone like you, let alone love you? Your feelings are valid, and I'm sorry you feel worthless and broken.
I can relate to the feelings of worthless and broken. I told my therapist tonight that I am a completely "f*cked-up human". I have my own crazy family, although no friends. If you feel like talking, feel free to PM me.
Regardless, I truly hope you can find the peace you are searching for.
The perceived value I bring to my existence is the self sacrifice I give for others, so I can prevent them from suffering, I want to be a figure in people's lives that provides endless love, care and support. That counts a lot seeing how living itself is full of pain and suffering. What people see in me is a caring individual who has a lot of empathy for my close ones.
Sadly, that's the surface that people see, it's what I let most of them see. Behind all this "worth" my existence seems to have, is a miserable person who is in a gigantic amount of suffering. I wouldn't be so focused on loving others if I didn't have a deep motive, and for me it's just the fact how sad and depressed I am. I do all this because I wasn't loved enough as a child, and this trauma shapes every aspect of my being.
I also know my close ones recognize that I'm an intelligent person, as I read a lot of scientific papers, probably mostly because I'm autistic so I have a ton of interests, but now I see it's just easier to live on this earth if you're stupid and you're neurotypical. I'm too sensitive, it's a double edged sword.
I'm aware that some of my behaviors add worth to my life, but me myself as a person - I am worthless. It's all just a mask. I actually got a diagnosis recently, it's borderline personality disorder. I'm literally just a walking disorder, I love a lot but I also suffer a lot. I's hell. The desire to end my life grows as the suffering piles up, and the bottomless pit inside myself consumes me.