It sounds like you're experiencing some discomfort due to dry, itchy, and red skin. These symptoms can arise from various factors, including environmental conditions, allergies, or skin conditions like eczema. To help alleviate your discomfort, consider using a gentle moisturizer frequently, especially after bathing. Avoid hot showers, as they can worsen dryness. Wearing breathable fabrics can also be beneficial. If symptoms persist or worsen, it's important to consult a dermatologist for personalized advice and treatment options. 

Experiencing painful cracked corners of mouth, a condition which is also known as angular stomatitis, might be intolerable. This kind of condition might be brought about by a number of reasons such as vitamin deficiency, yeast infection, or drooling. The main symptoms involve the appearances of redness, swelling, and sores at the corners of the mouth. Ways to get it healed include keeping the area dry, applying the lip balm, and eating a balanced diet that has fruits and vegetables high in vitamins. 

Taking care­ of oily, acne-prone skin is a priority for many tee­nage girls. Sunscreen plays a vital role­ in skin protection. Choose oil-free­ and non-comedogenic sunscree­ns. These won't clog pores or make­ your skin greasy. Look for zinc oxide or titanium dioxide ingre­dients. They are ge­ntle. Sunscreen pre­vents skin damage and premature­ aging. Establish a daily sunscreen habit for healthy skin.

Excessive sweating, also known as hyperhidrosis, on the other hand, can arise from a large number of causes like anxiety, hormonal fluctuations even certain medications. Your thyroid and blood pressure readings are normal so we should move on to other causes like stress or diet. Keep your body cool, use breathable fabrics, and don't forget about relaxation techniques like deep breathing or yoga, and you will reduce sweating. If it gets worse, you should talk to the doctor about it first.