You have not given up on yourself; you're still here. This shows strength and underlying will.
If you are seriously considering suicide, please contact the Suicide Prevention Lifeline. It's very likely that they'll make you feel at least slightly better by offering emotional support and advice.
P.S. I was once in a very similar position. Looking back, I think about all of the experiences I would have missed if I'd made that irreversible decision and I can't believe that I ever considered it. Life's stochasticity is sometimes hard to have hope for, but please believe me when I say that it will surprise you soon enough.
Keep your head up, love. You aren't worthless. I promise that! I'm just one person and I am no professional so not much I can say or do might help you (though I hope it does), but I know that you aren't alone in feeling such things.
It's good to take steps to focusing such feelings on getting better. Seek help if need-be, talk to someone, tell them all that is troubling you and work on how to fix those problems. Sometimes, that isn't enough and there may be an inbalance of chemicals in your brain that is causing you to feel so down and awful without coming back from it.
Sometimes those chemical inbalances requires a psychologist to fix that.
But it's so awful you feel that way because of your family. Your family loves you. A lot of the time it does seem like they don't. Keep your head up, love. You are willing to talk to me about anything at all if you need it. I'm sorry I can't personally do more than that