Aaron is depicted being exposed to electroshock treatments while staying at a mental institution. These are activities which the Mormon Church may have approved of several decades ago, but not when this film was made. By the 1990s, an organization called "Evergreen" had become the unofficial organization run by Mormon psychotherapists that the church would still be using today, and they would not tolerate or recommend such treatment. Aaron would most likely be sent to therapy with one of these therapists in an effort to change his sexual preference.
When Christian rips his shorts and cuts himself on the hose reel, Aaron puts two bandages on the cut and helps Christian to the bedroom. When they walk through the bedroom door, there are no bandages on the cut anymore.
When Aaron puts the first bandage on Christian, he puts the lower part over the "strap", in the next take (as we see him putting on the second bandage), we see the first bandage has been put on properly.
When Christian and Lila sit down for a talk, after Aaron flies back to Salt Lake, she pours him a drink. Between when he takes a sip and she tells him to "toss it", the level of the liquid at least doubles between camera takes.
When asked for his first name Aaron says he is not allowed to use his first name. Missionaries are not allowed to call each other by their first name but there is no rule that says you can not tell people your first name.
At the scene outdoors of the airport terminal Christian goes to reenter the airport but the door is "frozen shut". However the camera is pulled back enough that we see that he is blocking the door from opening with his foot. He makes two attempts and both are blocked by his left sneaker.