In the scene following Alan being thrown off of the dock, his shirt is no longer stained with paintball paint, but has the same stains before the paintball incident.
In the scene where Mickey gets killed, while cleaning the fryer, he puts his hands on the edges of the fryer. He would not have been able to touch the edges of the fryer after immediately cooking, let alone while it is still on, without burning his hands.
In the newspaper ad for Camp Arawak in the opening credits, the word volleyball is misspelled "vollyball".
When Michael is assaulting Alan with a croquet mallet, you can see that the mallet is rubber and bent when he hits Alan on the back.
A boom mic is visible during the scene near the end when the campers are gathered around the bunkhouse. It is visible right before Ricky enters the scene.