What exactly is the problem with my eye/eyebrow and what can I do to fix it? (photo)

First off, you have attractive eyes and nice skin, and should be confident in those features! Every patient has asymmetries if we look close enough, and brow asymmetry is one of the most common. 
I would recommend starting with Botox. A skilled injector should be able to target the specific muscles that elevate and lower the brow to create the symmetry you desire. You need to decide with your surgeon (after performing a facial analysis) to determine which brow position looks best on your face, then work with the injectible to get the other brow to match. 
Surgery is also an option, but I would start with Botox in this case.
Hope this helps.
Best of luck,
DrC

Thank you for the great question and photos!
While it is difficult to tell definitively from the photos it looks like you have some asymmetry of both your eyebrows and eyelids. The second photo it appears you may even have something called ptosis of the eyelid causing one side to droop slightly. It is important to note that this is different than some of the asymmetry some people can get as they age from excess skin or fat. It is equally important that this is identified and addressed because if not, any surgery could potentially make you asymmetry worse. Your best bet would be to schedule a consultation with a plastic surgeon familiar with the eyes/brows and these procedures.
I hope this helps and best of luck!
Kyle Kimura, MD

Thank you for your question and photo! Your are not alone. No one's face is perfectly symmetrical. Depending on the degree and longevity of results you are looking for from a procedure, you have both surgical and non-surgical options. I recommend a consultation with a board certified plastic surgeon that is willing to discuss all your options available to reach your specific goals.  Best of luck!
Dhaval Patel
Double Board Certified
Plastic Surgeon
Chicago
Hoffman Estates
Oakbrook
Orland Park