My left eye always feels heavy and looks way different than the front eye. Sometimes it looks even worse than this, what are my

Most people have some degree of asymmetry between the eye and most of commonly this is the result of a condition called eyelid ptosis that can be corrected.  Part of the fulness above the left eye is related to your eyebrow being lower on that side. I suggest that you visit or seek a FaceTime or Skype consultation with one of us who specializes in this area. 

The right upper eyelid is worse than the left upper eyelid but not by much.  This is corrected with ptosis surgery.  There are two types of ptosis surgery: Anterior and posterior ptosis surgery.  You most likely need anterior levator ptosis resection surgery. Not every plastic surgeon is trained to perform ptosis surgery. You need to see a plastic surgeon with board certification in ophthalmology and fellowship training in oculofacial surgery.  More generally trained plastic surgeons often lack the experience, training, and expertise needed for this work.  The American Society for Ophthalmic Plastic and Reconstructive Surgery (ASOPRS) maintains a website with a regional directory that can help you find a well qualified surgeon close to home who can assist you with this issue.

It appears that you have ptosis of one of your upper eyelids.  This issue causes the eyelid to fall lower across your eyeball than it should.  Ptosis can be repaired with surgery.  I would consult with an oculoplastic surgeon or a surgeon experienced in ptosis surgery.  

Your right eye appears to have droopy upper eyelid (eyelid ptosis) with brow elevation. See an oculoplastic specialist for evaluation and possible eyelid ptosis surgery, which can be done under local anesthesia. Skype consult available.

Your photograph is consistent with a weakness of the muscle of the eyelid known as ptosis ("toe-sis"). This condition requires a surgical repair if you want it corrected -- and it is making your eyes and face seem out of balance. In fact you will notice that your eyebrow on the side of the droopy lid is higher than on the other side. Please seek out an in-person consultation with a board-certified, fellowship trained Oculofacial Plastic Surgeon who specializes in cosmetic eyelid surgery and ptosis repair. This is a delicate and challenging operation that few surgeons perform well. Be realistic about the difficulty in achieving perfect symmetry between the eyelids -- it is something that i strive for every day in my career! Together with your surgeon you can decide if the benefits of repairing your eyelid will outweigh the challenges of the surgery. In my office this surgery is performed as an in-office, outpatient procedure which takes about an hour.  Best of luck in your search.
Damon B. Chandler, MD
Harvard-Penn Trained Oculofacial Plastic Surgeon