I have fairly severe anxiety (that impending doom black cloud has loomed over my head my entire life) and suffer from frequent panic attacks, though most are mild. I have no issues with social anxiety, mainly people I already know, so my issues are a bit different than yours, but there are definite parallels. Some days it's a struggle to get out of bed or I refuse to leave the house. It just seems to be too much. Many days I don't work out at all, but I try to do some sort of exercise at home. There are great workout videos on youtube. I really like blogilates. Her workouts are all doable for every fitness level and most don't require equipment. I also have to have structure, so it's nice to have a workout calendar to follow to keep track of what to do as opposed to just being given an infinite number of options.
I'm going to the doctor tomorrow and I'm really going to push for medication. At some point, you have to realize that this isn't something you can handle on your own, it's a biochemistry issue. It will get better though, you can get through this