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.
Once again this series gets addiction and chemical dependence totally wrong. Foreman tells Martin that an infusion of naltrexone will "end Alex's addiction to heroin overnight". Addiction is akin to a mental disease, it is not something that ever goes away, and cannot be "cured". The naltrexone will end Alex's chemical dependence on the heroin, making her no longer in withdrawal, but it will not end her psychological addiction. Also, chemical dependence is not the same as addiction, this series often acts as if only addicts go through withdrawal. Everyone that takes certain types of drugs for a long period will become chemically dependent on them and experience withdrawal if they suddenly stop taking them, this is true of not just narcotics like alcohol, benzodiazepines and opioids, but also corticosteroids like prednisone, and other non-narcotics. But only some people become addicted to them, addiction is a psychological dependence that is different from physical, chemical dependence.