Okay... the reflection isn't showing up in her eyes because if you don't have anything enclosing the scene (such as a room, or a skydome/sphere with an image attatched) then there is nothing for the reflection to reflect. I suggest that if you don't already own a skydome to download BB's EnvSphere HERE.

There are some links on the page to sites that have free panoramic images (it have to be panoramic to work), simply scroll to the bottom of the page and where it says "subpages" click on 'Environment sphere links.'

 

As for IDL, there's a check box in the render settings. If you didn't check it yourself I doubt it's enabled, so I don't think you have it on. So as far as that goes I'm actually not sure what is causing the black parts. In previous instances, the problem was usually that Firefly would skip over the parts that it had issues with, so for example if Ambient Occlusion (in the Material Room not the lights, IDL automatically deactivates AO on lights but not in the Material Room) and IDL were on, the renderer would have issues with the shadows and would "skip" those parts, leaving black or transparent "holes." But from what you have mentioned, I don't think that's the case this time.

I'm sorry, I wish I could help more...