When Solène is sneaking Hayes out of her gallery, he sits in the passenger seat. Before he puts the seat back to hide from the paparazzi he lays his head on the head rest. When he puts the seat back up, the head rest is gone.
When Solene is talking to Hayes in her friend's art storage, her hair is in different positions though out the scene, while she's not moving.
Solène is shown wearing a dark blue top on the airplane, but when she is in the cab from the airport to the Essex Hotel she is wearing a beige overcoat.
When Hayes shows up at Solène's gallery for the first time, several fans and paparazzi are seen outside. Hayes' bodyguard, Desmond, is also seen outside by the car that Hayes used to get there. Solène and Hayes then head to Solène's friend's warehouse before going to Solène's house, using Solène's car. When Hayes leaves Solène's house, he is fetched by Desmond. However, there are no fans or paparazzi outside the house, even though they would have followed Desmond's car from the gallery.
When in the trailer, Hayes' soda can moves back and forth from his side to the wall, without anyone touching it.
When the daughter is talking to her mother in Europe it's daytime outside at both locations. Seeing as it's the summer, this could be possible - if it were 10 am in California, it would still be light out at 7 pm in Rome or Paris.
When Solene is reading the negative social media posts about her, the last two have the same handle (@Zappy_Moonhead) but different profile pictures (the first is a male and the second is a female). All the other handles are unique.
Daniel buys Izzy a car over the summer for her 17th birthday, an indication she can drive. It is unclear why later on both her parents are still driving her to and picking her up from school.