I like that you’re actively working on something and trying to improve, keep at it!
BUT, you are missing a lot of basic planes of the face. Now it looks like you took a little to no time with the head, but ran into sculpting the skin details, which is always a rookie mistake.
You need to understand the underlying bone structure of the skull and the the muscles. Still, I’d say focus more on important bony landmarks and SHAPES of the musculature, rather than individual muscles of the head.
Not sure how much these are going to help with this particular piece you’re working on, since you have so much to change in the basic shapes of your sculpt, and you’ve progressed so far already… But keep this in mind for your future projects. So, you have kinda nice detailing skills, but combined with a proper knowledge of basic shapes, you’ll be much better.
And what comes to eyes… The cornea is the glossy and transparent outer shell with a convex round bulge in front of the pupil and iris (this bulging part is smooth, but the area around it can be rough because of blood vessels and such, but it’s not mandatory though). The eyeball is not shiny, but the iris and pupil are is slightly concave.
Hope these helps you to correct your workflow.