Yep, I've had many of those symptoms, and I did figure a lot of things out. The main thing is ignoring all the stuff online that says we can't have nutrient deficiencies if we live in the developed world. It's just not the case. Especially if we have thyroid issues, and h.pylori puts you at greater risk for nutrient deficiencies too.
Raw foods are especially hard to digest. Many have "anti-nutrients" which can even take away vitamins from you during the digestion process. It's better to eat cooked or fermented foods, at least until you get past these current symptoms.
There are some great lists out there which can help you determine which nutrients you are lacking based on symptoms. From there, you can decide what to eat more of, and what supplements to try.
If I just look at your symptoms, and think off the top of my head, here's what I think you need more of:
-Hair loss + greasy scalp: zinc, B6, biotin
-Inflammation of the scalp and other parts of the body: B6, vit C
- Acne - B6, vit A, zinc
-Dry skin - vit A, C
- food sensitivities - l-glutamine, thiamine, zinc, digestive enzymes, apple cider vinegar with meals.
-Always cold + Cold feet and hands - b-vitamins, iodine, selenium, iron, copper, zinc
-Chronic fatigue - vit A, iron, b-vitamins
-Bad breath some days - selenium
- Depression and mood swings(very depressed before my periods) B6
-Pain and mucus in the throat most days. B2, iron, vit A, zinc
-Pain in the articulations when it's rainy. Thiamine, B6
-Tired after meals - thiamine, zinc, digestive enzyme, apple cider vinegar with meals.
-Brain fog - thiamine, B12
-Blurry vision some days - vitamin E
I see a lot of B6 up in that list. If you have a B6 deficiency, you probably have a protein deficiency as well, even if you have been eating protein. This is because B6 is required to metabolize protein. So you will want to work on getting lots of protein, and you might want to supplement with tryptophan, glutamine and taurine (vision).
It's also really important to take a high quality multi-vitamin. Do NOT just take a few nutrients. Too much of one thing and not enough of another, over time, can put things out of balance. To much iron can affect copper and zinc. Too much zinc can affect copper. Too much vitamin A can interfere with vitamin D and E. So it's important to take a complete vitamin. A multivitamin and then add a b-complex.
Take extra B12, extra vitamin A, D and E. Choline and Magnesium. This is in addition to your multi and b-complex.
I'd also consider eating beef liver. It's probably the most nutrient dense food. I grew up thinking veggies were the healthiest thing to eat, but if you look at the actually data on vitamin content, meat and organ meat in particular, has more than any veggie.