Home for weekends

I go to a large state school 2.5 hours away from home. I really don’t like my school but am pushing through academically this year before considering transferring for my sophomore year. I have moved rooms three times so far (unforeseen roommate issues) and this have no friends here (please don’t lecture me about this and what I can do I get lectured enough). I want to come home every weekend. I do not have class Friday and always have a three day weekend. My sister (who’s older and understandably prefers to hang with her friends than with lonely me) has a car here making it easy for me to go home for the weekend. The only thing holding me back is my parents won’t let me come home every weekend. They say I’m missing out of college but the thing is I’m so so unhappy here I would just rather be home where I’m happy and not alone and feel loved when I don’t have classes. I have a 4.0 so it’s not like coming home is ruining my academics. I know they say I need to stay and make friends but I just moved rooms again and people aren’t that welcoming at this point in the year and everyone had their groups. I just am so unhappy here and cry so much I feel very hopeless and my only escapes are coming home on the weekends. I just don’t see why they can’t let me come home if I feel I need to. (Ps I have been struggling with some mental illnesses so far this year). How can I get them to let me come home this weekend? Plz don’t lecture me anymore