Do I have extra skin above one eye?

Your right upper eyelid/brow area is more hollow that the left side. The skin "collapses" on the more hollow side, similar to deflating a balloon. See an oculoplastic surgeon for evaluation. If simply due to fat loss, fat or filler injection to the right side can help greatly.

I do not think that you have a ptosis here, as the lid seems to be at the same height above the pupil on both sides.  You may have a slightly higher brow on the right.  You do have a difference in the crease.  You have more fat on the left behind the skin, so there is just the one crease.  On the right, you have less fat, and therefore a double crease  and a deeper appearance to the upper lid.  You should have an evaluation with an oculoplastic surgeon who can help you decide how best to improve the symmetry.

Hello.  Based on the limited resources (a couple photos), it looks like you have ptosis of your right eye.  The eyelid is not opening as well because of a weak attachment between the muscle that opens the eyelid and the eyelid.  As the muscle attempts to get the eyelid open all the way, it is pulling itself deeper into your eye socket; taking the skin with it, but not quite getting the eyelid edge as high as the other side.  This results in a deeper and longer eyelid on the affected side (your right).  Mostly this problem is addressed by occuloplastic surgeons but some plastic surgeons do this surgery also.  A surgery to improve the attachment between the muscle and the eyelid is what is needed.