Plot hole: Emily learned Italian during her youth in Rome, thanks to her time there and Dante Versano's tutoring. Considering that a good portion of the movie we don't deal with the real Emily but with another person impersonating her, it's unclear how this imposter could have learned the language and everything else about the family, given she certainly didn't have years to prepare and Emily's life as "Olivia" was not publicly known.
Plot hole: At the start of the film, the club are discussing Angela Hughes' murder, and they say they need another member of the club who has a medical background to answer some of their questions on the case. That's why they eventually ask Joyce those questions. But the club actually already has a retired doctor among their number. Ibrahim mentions he's a retired psychiatrist. Having a specialism in psychiatry doesn't change the fact he's a doctor, so he has the necessary medical background.