I know it's a very old pic, but I'm just too curious...

That thing in her right hand, is that a mirror and, if so, would this a parody of Amaterasu?

It's more like a reference to the Three Great Treasures of Japan.

http://en.wikipedia.org/wiki/Imperial_Regalia_of_Japan

Keine uses spellcards that make references to each of the treasures. She doesn't have the actual ones, but the actual Kusunagi sword did make an appearance in CoLA and is currently being held onto by Rinnosuke.