The point of triage in an ER is to identify and treat patients in need of immediate care. No nurse in his/her right mind would pass over a girl having an acute asthma attack for an obviously stable man with a gunshot wound, no matter what order they arrived in.
When Eugene & Arlene are about to make love, Arlene had taken off her tank top and was just wearing shorts of the same color and was partly lying on top of Eugene. In the next shot , she is on her side, Eugene is pulling a blanket off her lower half, and it looks like she is wearing a top and skirt of 2 different colors. In the next shot, she is back on top of him with no shirt as he rolls her over.
In the beginning Eugene writes the task on the blackboard, and later in the movie he is cleaning it from other notes and clearly the task given is not on the blackboard. Near the end when doing the interview you can see the task once again written on the blackboard, as if it had never been removed.
When the homeless guy is speaking to Arlene in the garage you can see that his teeth are good. During the shot when a woman wants to jump from the bridge, this guy goes to her and starts smiling, it's totally seen that his teeth are bad and dirty.
After Trevor runs away, Arlene is talking to the police and says if she had a car, she'd be looking for him. Later, she even asks Eugene to drive her around to look for Trevor because she had no car, but earlier in the movie, Jerry fixes her truck, so she had no need to ask someone else for a ride.
This is assuming of course, that she had resolved the issue of the truck not having all of its wheels on it - since it was raised on a stand, with at least one wheel missing.
After Arlene slaps Trevor, she goes into the garage looking for stashed alcohol. On the right side of the shelves she searches, there are two boxes of powder laundry detergent stacked one upon the other. Although each would weigh a few to several pounds even if only half full, she brushes them off the shelf with just a flick of her hand, revealing the boxes to be empty.