Lightning is just her code-name until they actually reveal her real name.

The graphics for the game look amazing, most people say you can't tell the difference between gameplay and cinematics. The whole game is apparently higher quality than any previous cinematics in FF games.

I should clarify, the battle system of FFXIII isn't like Advent Children, the battle graphics and movements and everything like that will be similar to Advent Children though. The battle system itself is a lot like FFXII's battle system, you don't go into a "battle screen" like in FFX or any before that, the fights take place in the same screen as where you run around like in FFXII.