Plot hole: Amy calls the Police about the shed before going to Desi. They watch Nick's TV statement together. The shed is only searched by the police after the statement. Which would imply the police sat on the report for several days before investigating.
Factual error: Amy leaves a lot of her blood in the kitchen. Now, I've donated blood quite a few times and I can assure you that after that much bleeding nobody does all the things Amy did right afterwards. It wears you out completely and overcoming it requires resting as well as eating and drinking properly. Huge loss of liquid and big drop in blood-sugar level.
Suggested correction: This is a very anecdotal argument, obviously donating blood/losing a lot of blood affects different people differently (I am completely fine after donating) and Amy is hyperfocused on her scheme at that.
Continuity mistake: When Amy kills Desi by slaughtering him, the amount of blood on her left shoulder disappears and reappears, depending on the shot.