How my life is miserable!

Sorry i haven't posted in a while. I have been busy with sports, and school.Obviously referring to my title my life has been a little sucky lately. My so called "friends" are not trying to hurt me but they are. We have a large group that i mostly hang out with but lately i haven't been invited anywhere and it sucks. It is literally me and two others. They act like they love me but they don't.
Here is the e-mail i sent one of my "friends"

Hey yeah i feel really bad about putting you on the spot like this. I know your having people over for the mixer and Katherine told me i was invited but then she told me i wasn't and yeah but that is not why i am sending this. I am a little pissed off, not for this particular reason but you guys are my friends and i never do anything with you guys because you guys do your own stuff without me. Its not like your trying to make me sad or anything but its like you guys are all out doing something fun and im not included. Im fine with its like three of four people but when you (and others) invite almost everybody i feel like a loser sitting at home doing nothing.It sucks. I know katherine feels the same way. I just want to know if you guys are really my friends are not because lately it seems like not. Im not mad or anything, okay maybe i am mad. I just need to know if you guys are my friends. Don't make it seem you guys hang out with me after this because i dont want friends out of guilt. I just need to know if you guys are my friends so i know if i need to start making new ones. 

Yeah so sucks to suck. Yeah i hope it gets better of i need to find new friends.

P.S. I am not going to result in some extreme measure like cutting of self-harming. I will just cry. I mean i think about it but i will never get to that point. They are just not worth it.