What can be done to correct symmetry and hooding? 21 y/o female (photos)

Your asymmetry is primarily based on bone structure with one orbit sitting higher in your skull than the other side.
In one picture it’s your left side and another picture right side, which makes me think that one image is reversed.
Facial skeletal correction is probably not indicated.
You could consider a brow lift or upper eyelid, blepharoplasty surgery or both.
If you attempt to make your eyebrows, even then the distance between the brow and your lash line will become more uneven. Attempting to correct facial, skeletal asymmetry with soft tissue manipulation will generally only create a second asymmetry.
Generally speaking Eileen towards the conservative side when it comes to surgical intervention and generally believe this should be a fairly high threshold before doing surgery on normal people who don’t have a clear problem.
The human brain is accustomed to seeing facial asymmetry because all people are asymmetrical.
It takes a significant degree of a symmetry before others recognize the imbalance.
We typically don’t see our friends and family as having facial asymmetry, even though all of them do.
For this and many other reasons, it’s usually better to leave an asymmetry alone then to try to correct it.
You bring up several issues and not all of them are related to symmetry.
As mentioned previously would lean towards the conservative side or side of caution before jumping into permanent irreversible surgery.
You can consult with senior plastic surgeons, facial plastic surgeons, or oculoplastic surgeons in your community.
During consultation, it would be a good sign if they recognize the skeletal component.
Best,
Mats Hagstrom MD