Chatterbox: Down to Earth

Sooo, Hi random internet people. I'm 12 and homeschooled, and iv'e got a few questions. As i'm homeschooled, I don't get out a lot. And i'm 'maturing' so my temper has been flaring up a bit.

The thing is, i'm kinda lonely... no real friends, only 'after school activity' is martial arts, and i'm the only girl, and everyone else in the class is either the 3 adults or the swarm of little boys, and my irritating 9 year old brother. I have already given up hanging out with girls my age a year or two ago. So I just hang out with boys, but it feels kinda awkward. And all they really do is play video games or android apps. Like, I do love video games and all, but I just don't know how to tell them that "I'm done playing HALO! Do you have anything good?" without hurting their feeling because, you know, I get a bad temper...and I'm loud...and stuff.

Also, my Little brother (who's 9) is ALWAYS BUGGING ME AND WON'T STOP IT. Swearing or even saying to "shut up" is banned in the house. He just does the normal little boy things, but when I tell on him, he starts CRYING, saing he didn't know he was bugging me, or saying that he didn't do it. However, when I DO prove he did it, or trick him into saying something that would aid me, he starts SOBBING. And then my Mom says that "It's okay, it's both of your fault." UUUUUGHGH!!!!!11!1!!! I just HATE it sometimes.

Also, I hate my 'online' math teacher because her classes are way behind and she won't help unless we have been to the class that goes with the lesson I need help with. Uh, how do I do that when you didn't even MAKE the class, idiot? And when I pointed out NICELY that her classes were behind, she said I was being RUDE and put me in the room where I coulden't watch the lesson. So I just started drawing and told her that her classes weren't that smart. (As you can see, my wick was running short.) And I told her what I was doing during my punishment. Then I left the room. She did call my Mom, but she was putting my baby bro to bed so she didn't catch her, which I'm guessing was a good thing. When I told my mom about the whole thing, she said that I shouldn't argue with my teacher (not that that's gonna stop me or anything...)

Soo, if any of you guys have experieced this or can give me some tips, that'd be great.

Thanks.