How can I fix my right nipple? (photos)

I agree with removing the piercing.  The nipple ring is a foreign body which can increase bacteria and risk for infection in the areola.   The scars may heal just fine with time.  In very pigmented or black skin color, the scars and skin may be more prone to noticeable scars.   Time will help.  I would recommend upwards of a year before considering surgical revision.  Consider silicone patching or steroids if a keloid type scar forms (which is unlikely).

The areola when sewn along the border during a circumareola lift can sometimes be twisted a bit.  While this may be a bit related to swelling it might nor be.  Best of luck.