During the conversation in which Dr Adams confronts Henry on the woman he modelled his doll after, his eyes are initially coloured normally, before suddenly becoming jaundiced (yellow) in the next shot, as they would be given his liver failure.
When Henry hallucinates that Amy has come to life, as she first undresses, Amy does not have any bandages on her, and her bra has changed from white to black. Right before she bends over him, the bandages spontaneously appear on her. Normally this could be considered a series of goofs, but it is an hallucination, after all.
A Neti Pot is not an obscure instrument. On the contrary, it is a common method of nasal irrigation, and its use is often prescribed by doctors. A doctor would not misidentify a Neti Pot.