Asymmetrical orbits and vision changes
I would recommend you see an ophthalmologist for your questions and concerns. Best of luck!
The photo suggest the eyelid are not well aligned but overall the eyelids are pretty symmetric.
Are you telling us that your eyes are prominent? I think you should consider being assessed by a fellowship trained oculoplastic surgeon. These are board certified ophthalmologists who have additional training in eye plastic surgery. The are qualified to also assess your eye alignment. The American Society for Ophthalmic Plastic and Reconstructive Surgery maintains a regional directory of highly qualified surgeons on their website that can help you find a surgeon in your area.
You have exotropia - outward rotation of the eyes. A strabismus specialist would be able to assess and treat this problem. See the reference below for more information on exotropia. On the same link, the Home page has a tab at the bottom to look for a AAOPS specialist in your area.
Abnormal eye movements
Thank you for sharing your question. You have ocular motility problems. See a pediatric ophthalmologist or neuroophthalmologist for comprehensive evaluation. Typically, these problems are not serious.
See an oculoplastic surgeon
for a detailed exam, review of your history, and to hear your concerns and expectations. Your eyes look great from your photos with no abnormalities appreciated.
It appears that you may have an ocular motility or movement issue. When your eyes go out in upgaze (or any gaze), this is what is called an exophoria or an exotropia. This may be due to a weakness or an over action of 1 or more of your eye muscles. I would see your local ophthalmologist to do a full eye examination. Generally, these type of motility issues are isolated and are not associated with a systemic issue. However, it is best to have a full evaluation by an ophthalmologist.