My 10 Year Old Scratched Her Mole at Her Lower Back Accidentally, Now Its Swollen and Seems to Be Infected, What Should I Do?

Retinols and/or retinoids will typically have no impact on mole removal.  The exception is if the surgeon uses a laser in conjunction to mole removal.  Some ablative lasers are best used in absence of a retinoid/retinol.

You are fine to use makeup. You can use it as soon as the site is healed, which at 8 days post sutures, is more than enough time. "This answer has been solicited without seeing this patient and cannot be held as true medical advice, but only opinion. Seek in-person treatment with a trained...

If you desire removal, a full thickness excision with scar improvement techniques would suffice in the treatment. Raffy Karamanoukian Los Angeles

For a mole on this area of the nose, I would recommend a shave excision method.  If need be to achieve better contour, a laser ablation can be performed immediately after the shave.    

Because your mole is dark and irregular and is in a sun exposed area, it is important for you to have it examined and most likely biopsied. However, I fully disagree with the plastic surgeon below who frequently states that you need a complete excision with sutures and even says that you...

The level of pain and symptoms you're describing are completely normal after a small surgical excision.  These generally resolve after a few days.