Check in that character's Activities: solo planetary missions to see if you have the Yavin dailies available to you. If you do, then this character must have already completed the SoR storyline.
I wish they still allowed people to post pictures in the forum posts. The old 'Show off your characters' thread was always a great source of inspiration. Now having to click on embedded links is a bit of a pain!
Yup, got exactly the same problem on my body-type 3, male Cathar. When you zoom in on the Appearance Designer, it looks like he's got reflections of his own face in his eyes.