Can Any Surgery Fix my Asymmetrical Eyes?

Your eyes are asymmetric because your right eyeball (globe) is more prominent than the left and your left eye is lower than the right. This has to do with how the eyeball sits in the eye bone.
Differences such as these are normal and do not warrant surgery. I am sorry they cause you so much distress.
In cases where eye asymmetry is significant, camouflage procedures can be done, to adjust position of the lower or upper eyelids, but greater variations would have to be present.

Unfortunately, it is impossible to know what is happening in regard to your eyes from a flat one dimensional photo. It appears not that one eye is larger (globe) but the fact that you have ptosis (drooping eyelid) on the left side makes your eye on the right appear larger.
This is very common and can be fixed surgically. If the right eye truly is more prominent other disease processes need to be ruled out including thyroid disease. You are best to be evaluated by an Ocular Plastic Surgeon (www.asoprs.org).
I believe that you can be helped but I also think that you need to have realistic expectations. I think you are being very hard on yourself. You may be best served by also speaking with a counselor to work out your self image issues.

There are multiple anatomic abnormalities that can result in asymmetry of the eyes and face. These may include deformities of the orbital bones, eyelids and eyebrows. In most cases, they are relatively minor, but in some cases, they may be severe and extremely noticeable. Depending upon the deformity, treatment may or may not be possible.Although it's hard to know exactly what's going on from your history, I suspect you have boney orbital asymmetry. This is confirmed by your history of an enlarged right cheekbone and eye.Asymmetry of the facial bones can be a major contributor to facial asymmetry. When this occurs, it's not unusual to have one side of the face that has a depressed orbital rim and flattened cheekbone and an eye that appears smaller than the opposite eye. These findings are often related to a condition called plagiocephaly.Unfortunately, it's not possible to correct this type of deformity without major surgery upon the facial skeleton. This type of surgery wouldn't be justified for a relatively minor deformity.If you're concerned about facial asymmetry, it's reasonable to consult a  board certified plastic surgeon. This surgeon should be able to address your concerns and alleviate your anxiety.