She looks very different in both these shots. The squareish composition in #1 looks blocky, kind of dumpy, static, dull; we need to see more base, more chest, with the head feeling higher-up in the frame. A square feels plodding. In the second shot, her cute cheek bone structure is really revealed nicely, but at the same time, she feels "closed-off", retiring, shy, and a bit slump shouldered--which contradicts the big smile. She needs a more upright, erect, perky body posture.
Lighting-wise I agree...the backdrop is a bit gray. The lighting on her is okay. Not great, not excellent, but not horrible either. I dunno...I'm not 100% SOLD on these two shots for something as important as a headshot. I mean the pose/smile disconnect in #2 is a big deal...she is "acting" shy, but "projecting" a smile...the posing and the emotional projection MUST synchronize for an actor.
One is lit with a short lighting scheme, the other broad lighted, which I think ought to be unified within the same clothes change. Go one way or the other with each change of clothes. She also has no eye-sparkle in the second shot, which I think hurts the shot.