Hey George
I have really bad health anxiety. I too get a lot of weird shaking sensations, especially if I have to use my muscles, lift my arms/hands etc. I found it has improved since my doctor put me on antidepressants to treat my anxiety. Still get the odd eye twitch, and still sometimes feel like my body is vibrating when I lie down at night, but I've just put it all down to the anxiety.
Take your doctors word for it, and do more of the things that make you happy to take your mind off it since that seemed to work for you
Hope you feel better soon!
- Therese x