Help with social skills and tone (also a mild rant)

I have diagnosed Asperger's and I am currently struggling in school due to not being able to make friends and difficult relationships with teachers aswell as at home problems

My primary issue is that recently I have been irritable and I think that may be unintentional rubbing off onto my tone of voice, so now anytime I talk to a teacher or peir they are assuming I am being rude even though I don let say anything inherently rude. My mom thinks that I can just snap like that and change it through I can't. I struggle from stress at home because I have 2 toddlers of similar age who both (in their sadistic child brain) purposly trigger anxiety attacks and will be loud nonstop. (Note that I live in a 2000 sqft house with 4 kids and a 0.25 acre yard in the middle of a city)

Adding to that I am also struggling with making friends, a combination of my mom not letting me leave the house and people generally not liking me for whatever reason. I've tried to approach groups of people but I'm not sure how to not be weird. I do feel like a lack of friends is an issue In school as I have no motivation to go to school anymore.

I am also suffering from (what I believe) to be post surgical depression. I recently got a very invasive surgery on the side of my head and have been dealing with a hole behind my ear since the end of January. Its been very painful and I've gotten very depressed.

And when it comes to my mom, she is always putting me down and calling me privileged and she never sympathizes to my issues even though she is a self proclaimed autistic (I'm pretty sure I got it from my dad). She is also always yelling and stressing me out.

I'm not sure what to do at this point.

I'm done ranting, feel free to ask any questions

Sorry if this was a word vomit