Well, typically in a portrait, you want the subject to be looking at the viewer. I have a tendency to look elsewhere. Thought I would try my hand at post-processing my eyes looking away to looking forward. Now I'm thinking I just look evil.
In the second, your eyes are pointing two different directions. That's why it looks wrong. The one on the left is turned inward too much. Looks like lazy eye. You might be able to make the second look right, if you turn that eye further outward.