Kyboshia,
Problems are unpleasant feelings, other people have these feelings/problems also.
Everybody assumes or you assume its because of SA?
Have they told you that its the SA that is the cause of them hating you? If that is the case then you must realise that you are not SA itself but it's the mental sickness that you deal with, its not you they hate. Tell them this and they will be able to distinguish you from your SA, like a patient with cancer is not the cancer itself.
How are you causing everyone around you to hate you?
Quite simply, you aren't. You think everyone hates you for this reason. You want to love people you want to chat to people and people may think you're arrogant or not wanting to be friends or whatever this is their problem. You must deal with your own thoughts first, so realise that what you really want is to be friendly to chat not hide away becuase of your SA - this is the big contradiction of SA - what we want is not what we really want.
What we usually want is to run away and hide from situations, people etc when in reality what we really want is to be confident speakers having fun talking to people this is what we really want so look at what you really want and relate to it as best you can. Being so familiar with negativity makes it tough to act on what we really want but it just takes practice.
Jack