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.

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. 

It is advised to see a dermatologist who will inspect the site and give a prescribed diagnosis. They may also give treatments options that can be used to lessen the lines visibility.
 

Hyperhidrosis may be warned by profuse sweating, specially in sunny days. But one must rule out any underlying medical condition such as thyroid or inflammatory disease. I advise you to visit a dermatologist for assessment and diagnosis. They can offer treatments and guidance on the condition’s management.

Those whiteheads on your forehead are probably a type of acne called comedones. The hair follicles become blocked with oil and dead skin cells. Skin conditions can be accompanied by small, white bumps. One way is to use mild face washes with salicylic acid or benzoyl peroxide which can help remedy the clogged pores. 

Some of the beneficial treatments for undereye dark circles and fine lines include laser treatments, chemical peels, microneedling, PRP etc. Please visit a dermatologist. Based on your medical condition and other factors, the doctor will suggest the best treatment for you. 

Pigmentation is not treated quickly. It takes a while for treatments to work. But you can visit a dermatologist and discuss this. Based on your particular condition, he may suggest some alternative treatments that may work for you like chemical peels, laser treatments, topical creams etc. Hope this helps.