Any chance insurance would cover eyelid surgery ? Should I book medical or cosmetic consultation? (photo)

You have ptosis of both upper eyelids.  This may be covered by your insurance.  You will need photos, a visual field, and a consultation note sent to your carrier for prior authorization.  See an oculoplastic surgeon in your area who accepts your insurance to get this taken care of. 

It is possible that your insurance could cover upper eyelid surgery, but your insurance company would make that determination.  In most cases, a examination is required to determine if there is any visual loss due to the heavy upper eyelids.  It is also possible that you have some ptosis, which can also be corrected with surgery and may be covered by insurance as well.  You should see an eye doctor to be examined.  

A full set of facial photographs, examination notes, and a visual field obstruction tests are all submitted to your medical insurance company for pre-authorization. Medical necessity must be documented At the time of the examination in order to submit for medical insurance.

Coverage for eyelid surgery is dictated by your Insurance company and the terms of your specific policy. You will need to see an Oculoplastic surgeon who can examine you and perform the necessary testing and then submit this to your Insurance company for predetermination or pre authorization.

That's a maybe--usually a visual field test is required to determine if the skin hanging is compromising enough of your vision.  An ophthalmologist usually makes this determination.  But even if this is the case, corrective surgery would not likely focus on the asymmetry (the cosmetic aspect of your concern).  You might want to consider trying something simpler, like cosmetic botox to address the muscle that pulls down on the brow.  More units could be injected to the right side, where the brow is lower, in an effort to create symmetry.  It might solve the problem in a temporary way--but needs to be re-injected about every 4 months.  If you aren't happy with the results, could always consider surgical options like browlift or upper lid blepharoplasty.

There is a possibility that your health insurance will cover the upper blepharoplasty, but it depends on their requirements. Often they require a visual field test to be done prior to authorization.  Another option you might want to consider is a browlift.  This involves using a specialized suture to position the brow higher.  This might improve your headaches and sore forehead.