That new shaking resembles something called Primary Tremor...common in middle age and up...generally not treated or with something very mild like a low dose beta blocker.
My Uncle, age 85, has had it for a number of years. Among his half dozen serious conditions, he doesn't give this one much thought.
I hope Mike starts improving soon. Best wishes to to you folks.
Disclaimer: I am NOT a health professional, only speaking from personal experience and observations. Always discuss new symptoms, observations or new treatments with your doctor.