Yes the left eye sits higher in the head that the right. The right upper eyelid is actually more open than the left upper eyelid by a very slight amount. This means that you see a uniform strip of eyelid platform on the left side but a little less platform is visible on the right side.
I do not recommend surgery for these types of issues. Nothing good will come of it. All of us have some degree of asymmetry. The real issue is what does your brain do with this information. If you spend more than a hour a day thinking about the issue, or avoid social situation because of these differences, you may have some degree of body dysmorphic disorder. If you are crippled by an obsession over these differences so that is have social consequences such as affect work or social relationships, assessment by a mental health professional is appropriate.