Hey, I'm so sorry to hear you're feeling this way. I can see you're feeling a lot of emotions right now so well done to you for letting it all out! First of all, I want to remind you that there are 8 billion people on this planet, and I can assure you at least one of them wants to talk to you! You'll always have this amazing community on TSR as well, don't forget! Could I ask why you don't feel comfortable talking with your friends? Or is there a way for you to keep in touch with your best friend who moved to college?
Nobody hates you, and if they seem like they do, you never wanted to talk to them anyway! Try out those extracurriculars and don't even worry about getting things wrong - you want to attract people who like you for who you are, so there's no point in pretending to be someone you aren't. Play your instrument! Who cares what that teacher said? You play music not because you want to be Beethoven but because you enjoy it and it gives you relief, and that's something that no one can tell you is wrong.
My advice for you now is to be kinder to yourself. You are an amazing person just the way you are, and I'm sure your family loves you very much. If you feel comfortable doing so, maybe let your parents know how you're feeling. They probably don't have control over the hours they work, and I bet they also feel like they want to spend more time with their children. If you don't want to do that, that's okay! Chat to some friends, or your best friend who's moved. You can even chat to people on here (but stay safe of course!). Join new clubs and do things you enjoy, but do them for yourself - not because you want to be seen a certain way - and you will attract the kind of friends you want and deserve.
Sending you lots of love!