I believe she has done most of these tests, although she hasn't given me the results. She has tested the same thing several times.
Would test TSH, Free T4 and thyroid antibodies to confirm there is not a thyroid problem. All these symptoms suggest thyroid, but there are numerous other potential causes and working with your primary doctor is important to try to determine the cause.
I also have very bad dry and flaky skin on various parts of my body including my face. I started getting gray hair in my early 20's, at 28 I have about 10 grays! From time to time I have very dry mouth and difficulty swallowing. The list goes on and on.