Hypothyroidism - Ongoing/additional symptoms?

Does anyone else here with hypothyroidism have skin problems? The skin on my face is changing and I cannot figure out what is going on. It’s dry and rough in certain areas. At first it started off as one small patch, but it eventually spread. It doesn’t itch, bleed, flake off or anything like that. But when I examine it closely, it’s almost like little tiny spikes stick up off of it.

Additionally, my fatigue isn’t going away and is still really bad, and I have unexplained muscle spasms (not painful and they even happen in my throat) all over my body, and lately I’ve also had jolts of pain in my hands/arms and feet/legs, almost like the painful part of when a limb wakes up. It’s not lasting and goes away almost immediately. I also have anxiety (medicated), but I feel like it’s been getting worse lately. I’m wondering if it’s all, somehow, related to my hypothyroidism.

I’m not looking for a diagnosis, I’m just looking for information about symptoms those of you with hypo experience/d. There’s something that popped up called hypoparathyroidism which a lot of my stuff matches, but it says it’s really rare, so I have no idea. I don’t know if it becomes more likely for people who have hypo since I don’t know anything about it. Were any of you diagnosed with it?

My doctor seemed hesitant to check my T-levels last time I asked (because they normalized my thyroid levels with meds), so I don’t know how to approach it without being bothersome. I can’t see an endocrinologist without a referral, either, and I’m being a baby about asking. Any tips on how to ask the appropriate questions so I can have more tests done?

Sorry for rambling and thank you for bothering to read the entire thing if you got this far!