Yes, when doctors check your thyroid it is usually with blood tests: TSH (thyroid stimulating hormone), Free T4, T4, T3. Some situations do require an ultrasound of the thyroid, if someone finds a nodule.
Please do not assume anything! You need to get your records and make sure of what tests were done and what the results were.
Most neuromuscular diseases have a "fixed" weakness that can progress over time, though some are more "static." MG has fatigable weakness that flucuates with sustained or repetitive activity, like holding logs in your arms for awhile!
I don't know where you live but if you could try to find an MG expert, that might be a good idea for a second opinion. There's nothing wrong with that! And most MGers get a Single Fiber EMG done, which is more sensitive for MG than a regular EMG.
You really want to know exactly what is going on since the treatments for diseases vary! I hope you'll get your records and make some more appts. Good luck.
Annie