Romero is arrested for perjury after allegedly lying to a federal agent. Perjury requires the suspect be under oath when he lied, which Romero was not, therefore perjury is an unsustainable charge. He could, however, be charged with lying to a federal agent and obstruction of justice.
Funeral homes use eye caps to hold the deceased's eyes closed and maintain their curved shape. These are not present when Norman opens Norma's eyes.