When Alex falls on the runway in the first scene, she falls face forward. However, immediately after she is lying on her back.
When Foreman is talking to Alex about upcoming brain biopsy, she is twitching constantly. When camera is looking at Foreman, she lies completely still.
After Alex gets the brain biopsy, we see her in bed with her head shaved. In every other scene after that, Alex is seen with a full head of hair again.
Dr. House says that no one can touch Alex for three years since she's fifteen, but the age of consent in New Jersey is sixteen.