Towards the middle of the film, when Jamie and Emily are sitting on the hood of the car eating ice cream, the amount of ice cream on Emily's cone fluctuates with each camera angle, even at one point in three consecutive shots, going from almost full, to almost gone, back to almost full again.
In the movie, the priest baptized Jamie as a baby at her grandmother's request. The Catholic Church does not permit baptism without the consent of the parents and a corresponding promise to raise the child as a Catholic.
At the grandmother's funeral, there is a eulogy by the priest, who then asks people to come up and speak about the deceased. Catholic funeral are masses, and eulogies and personal remembrances are not allowed.
While it is certainly possible that the grandmother was uninformed about her professed faith, the Catholic Church does not teach that baptism is a guarantee of heaven, nor that being unbaptized is a guarantee of hell.
The dartboard in Nico's garage is mounted unusually high. Also, it is inches from a bookcase meaning that when you throw right handed (which most dart players are), one would have the bookshelves in a distracting, close peripheral view. No dart player would mount a dartboard in either of these circumstances.
Given that it takes at least five additional years AFTER finishing an undergraduate degree to become an ordained priest in the United States, Luke would have been charged with statutory rape after the police found him having sex with the sixteen year old Jamie.