I definitely agree with AnnieBrooke about the thyroid issue... Your symptoms certainly point in that direction. Hair loss, dry itchy skin, depression/anxiety and most of the other symptoms you mentioned are very common with hypothyroidism.
I'm not sure what doctors are making appointments right now, without them being related to the COVID-19, but as soon as you can, ask your doctor to test Free T4, Free T3 and TSH to check actual thyroid function. In addition, have them do thyroid antibodies to determine if you have Hashimoto's, which is an autoimmune condition, which is the most common cause of hypothyroidism.
Annie's right that most doctors don't do all the necessary tests for thyroid so be sure you get all the tests I mentioned above or you risk being misdiagnosed, which happens to so many of us. Many doctors will also try to prescribe antidepressants and/or anti-anxiety meds when what we really need is thyroid hormones. This includes endocrinologists as well as primary care doctors.
It might be helpful if you could find those old thyroid results just to take a look at, even though they're no longer valid. It sounds like you've been dealing with this for a while and it's not unusual to have symptoms long before actual labs go out of range.
When you get in to see your doctor, also ask to get vitamin B-12 tested, along with vitamin D and Ferritin. All of these are necessary for proper thyroid function and metabolism, plus vitamin B-12 is necessary for red blood cell and energy production. Vitamin D is necessary for immune function and Ferritin is the iron storage hormone. Iron is also necessary for red blood cells and energy production.
Have you had a official diagnosis of Fibromyalgia? Many of the symptoms of Fibro mimic those of hypothyroidism and go away once a person begins taking replacement thyroid hormones.
Because reproductive organs are also part of the endocrine system (along with the thyroid), it's quite common for menstrual cycles to be erratic with hypothyroidism, but as you say, there's always perimenopause to be considered. Having estrogen and progesterone levels tested would also be warranted.
If you'd like more information regarding thyroid conditions, symptoms, treatment, etc, you can access the Thyroid Disorders community via the following link: