Hi I'm so sorry life is so hard for you! Does the university offer any kind of pastoral support or counsellors? I hope you can find some real life support as well as coming here. I was depressed at university and it did affect my final grades, but I was still able to use the degree to get a job. I really hope you can find a way to do this too.
There's so much pressure these days to get a girlfriend when you're very young. I didn't go out with anyone till after university and boy did I feel lonely at the time, but looking back it let me grow up a bit and avoid the trauma of breaking up during that time. There will be someone for you, honest!
I sincerely wish you every encouragement I can as you try to find a way forward. Keep posting, maybe the game forum will offer some company and diversion?