Well I'm 100+ hours in, and not planning on a re-roll, but I appreciate the feedback for my neck character!
The eyes are actually my favourite part, but you think they should be brought down a bit? And how do I move the nose/mouth back? As you can tell, I had slight difficulty with the position sliders, heh.
The high eyes are a beautiful feature of this character, and you should retain them. But they're too high at the moment. When you create your next character place the eyes at the exact middle point between the top of the head and the end fo the chin, and then move them up just a touch. This will create the sense in the game that the eyes are high while avoiding the artificially high eyes of this character. I did the exact same thing with my test character. For instance:
Original high eyes


Proportionate lowered eyes


The eyes in the second set are in the exact middle of the face. Here's the CC faces for comparison:


However, despite achieving perfect proportionality in the second set, I lost something distinctive about the character's beauty. So, in the next build I'll do what I suggested you do, which is place the eyes at the exact middle and then raise them just a touch.
To move the nose back, use the horizontal slider in the nose position setting (if I remember rightly).