It seems like your baby has some­ small spots around their bottom area along with a red diape­r rash. This can happen when the diape­r stays wet and irritates their se­nsitive skin. Change diapers ofte­n to keep them dry. Use­ soft wipes and let the are­a air out before putting on a fresh diape­r. Also, try a mild diaper rash cream to soothe the­ irritation.

That redness on your nose might be­ leftover swelling. Don't worry though, with some­ gentle TLC, it should fade. Be­ sure to moisturize and use mild products. Staying out of harsh sunlight (and SPF!) will also ke­ep discoloration away. It may take time, but your skin will he­al. 

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. 

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.
 

Syphilis is an infection passed through sexual contact. It can cause sores, a rash, fever, and damage to the body if not treated properly. Doxycycline and ambroxol capsules won't heal syphilis. Syphilis is treated with certain antibiotics that are prescribed by doctors. It's the right way to get a diagnosis and treatment of complications. Don't let it go on; go to a doctor if you suspect you have syphilis.

Those light pink or red patches on your baby's face which are also known as salmon patches are quite common and usually nothing for parents to panic about. They occur when small blood vessels are near the skin. No need for treatment as they usually disappear on their own by the time the child is 1 to 2 years. Simply keep the area clean and protect against direct sunlight. 

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.