Hello

Thank you for sending the pictures...that was a good idea.  Please know I am not a doctor and cannot give you any medical advice.

I am going to strongly suggest that you do see a dermatologist to determine the cause of this dry skin or possible acne. 

In the meantime in researching your question I have come up with some possibilities.

This skin care article seems to suggest that psoriasis or even a mild form of seborrheic dermatitis might cause this dry skin near your nose.  Another guess is Perioral Dermatitis.

Have you tried a hydrocortizone cream?   Have you tried exfoliating the area with an exfoliating face scrub?  Before you try these suggestions please do see your doctor first.

Here is a forum with many responses about this same symptom you are having.  You may want to take a look at the comments.

Here is also an image from the Mayo clinic which says that you can have deborrheic dermatitis in the sides of the nose.  If it is this type of dermatitis...here is what the Mayo Clinic recommends as far as treatment:

"Seborrheic dermatitis on the face and body
Treatments for nonscalp seborrheic dermatitis aim to reduce inflammation and the buildup of scaling on the skin. Over-the-counter (nonprescription) antifungal or anti-itch creams, along with other self-care measures, may help control your symptoms.

If these measures don't help, your doctor may prescribe topical corticosteroids, antifungal medications or a combination of the two to treat stubborn patches. A common course of treatment includes a daily regimen of ketoconazole (Nizoral) and desonide (Desowen) applied to your skin. Prescription oral medication, such as terbinafine (Lamisil), may be an option if the condition affects a large portion of your body."

Please do see your doctor because it does seem that some medical conditions can accompany Seborrheic dermatitis and you want to make sure of what you are dealing with.

I sure hope this helps.  Thank you for your question and if it is possible, please do come back and tell us what the doctor says.