Plot hole: When Wilson does an ultrasound to check for cancer in Alex' ovaries he fails to notice the fact that she doesn't have a uterus. If he mistook her bladder for her uterus, which sometimes happens, she would have appeared to be missing her bladder instead. Yet Wilson doesn't pick up on anything being missing.
Plot hole: In the scene with Mikey in the NICU, the alarms start to go off, stating that he is in distress. The nurse screams "He's in V-fib!" and everyone rushes around him. In the next shot they show the heart monitor just before Chase shocks Mikey's heart. The problem is that the heart rate is so fast with one wide complex that it would actually be Supraventricular Tachycardia with 1 Premature Ventricular Contraction (SVT with 1 PVC), which is far less serious than V-fib and wouldn't require the heart to be shocked.
Character mistake: House says to Chase "I've got a dead baby for you to biopsy." A biopsy is a test performed on tissue from a living patient. He should have said 'autopsy' - the procedure performed on a dead person to determine how they died. House, as a doctor, would know this distinction. (00:32:45)
Continuity mistake: When Dr. Cameron is walking with Dr. Charles to go for a procedure, he barely has any facial hair before they enter the stairwell, but once they reach the stairwell his facial hair has increased quite a bit. His hair is also parted to the left prior to entering the stairwell and once in the stairwell it is parted on both sides.