I don't think what you are experiencing is unusual. I started feeling awkward and a little weak, so I started physical therapy to retrain my body. I realize that I'm still moving like an obese person, and I don't feel confident in how I get from here to there sometimes. I think for some people the massive weight loss can be a little disorienting on our bodies, and we sort of have to relearn how to control our movements properly without injuring ourselves, etc. I felt different enough that I wanted to make sure I was doing exercises correctly, working the best muscle groups, and improve my flexibility, so physical therapy has been helping with that. I go twice a week and have "homework" on other days.
Working in resistance exercise is important to maintain muscle mass while you are losing weight and to maintain it afterward. When you are losing weight and ideal ratio of 3:1 (or better) fat to muscle loss is preferred. I would recommend getting scheduled with a physical therapist regularly to start building muscle, or at least decrease loss while you are still losing weight. Our bodies will pull energy from any source it has, and that includes fat and muscle. Resistance exercise also helps stabilize your body and avoid injury, and it helps keep your metabolism running well.