Your description of the symptoms leads me to believe that your mother has a skin condition called eczema. Eczema is characterized by the appearance of red, itchy patches on the skin. It can be caused or aggravated by certain substances or environmental factors. To alleviate the symptoms, it is necessary to maintain the skin's hydration and avoid irritants. Using mild soaps and wearing comfortable, breathable clothes can also be helpful.

Dark spots after chicken pox are known as scars. The­y appear when pox blisters he­al. Don't worry too much, most fade over time. To spe­ed up fading, try using creams or oils made for scars. Also, prote­ct skin from the sun, as it darkens scars. 

Please provide more details for a proper diagnosis or you can visit a dermatologist

One of the most frequent concerns facing people is the openness of the pores. Open pores can cause rough and uneven skin. The causes of these pores usually include genetics, oiliness, sunburn, and even old age. One of the ways to decrease the face of open pores is to use salicylic acid or retinoids for day and night skin treatment. Regular cleansing of your face followed by application of sunscreen can also be helpful. 

Sometimes not having enough vitamin D3 can cause people to lose their hair. You should keep taking the vitamin D supplement as the doctor told you. You should try to eat more foods that have iron and protein in them as well. One thing that might help is finding ways to relax when you are stressed. 

Stubborn dandruff may be caused by a fungus on your scalp that causes the skin cells to accumulate and become flaky. Scratching too much could also be the cause of a sore head. Use a medicated shampoo that treats the fungus and calms your scalp; additionally, wash your hair gently and frequently.