I'll answer the questions for you quickly, cause I don't have textbook MG.

Do any of you have nerve pain? Like neuropathy?
Not directly related to the MG (I do have it, due to other autoimmune disease)
When you talk about the rest being beneficial to the muscle pain/weakness does it completely take it away? Does it take several hours?
No, it never took it completely away. At my best, rest (which was at least 1 hour) made a significant difference. At my worst rest was just a way to get through the day. I never experienced the stuff I read in textbooks, like if you rest for a while it will disappear.

Do you feel well rested in the morning or are you weaker in the morning?
Strangly in the mornings. From the start it's like this: wake up weak, around lunch it's better, afternoon is the worst and evening is better.

Are doing things like grocery shopping manageable or out of the question?

For me, at the moment, it's not manageble. But it has been, though I had to use special car, a cane and/or my wheelchair.
But they say it will get better.

Anyway, I'm also a u young woman, and they are testing me for MS still. They think I may have it, besides the MG. My brain mri is "questionable" so it's a possible MS diagnosis. Maybe that's where my absurd fatigue is coming from?