Continuity mistake: When Kyle drives away in a car, the logos on the trunk disappear and reappear from one shot to the next. (00:34:55)
Continuity mistake: Lori and Declan are making up - the wall behind them changes from a brick wall to a wall made out of porous concrete as the light goes back on. (00:40:05)
Continuity mistake: In the bathroom scene, Andy's hat keeps changing position between shots. Her hat position interchanges between showing all of her forehead to none of it.
Continuity mistake: When Kyle is taking the test, he's doing it with precision and accuracy, but he marks the wrong answers for #31-33. Even though it's meant to be a continuous shot, when he's answering #35, his answers to #31-33 are now changed to the correct answer. Kyle is able to answer the questions right the first time and didn't go back to change his answers, plus there's no sign of the previous marks if they were erased.
Continuity mistake: This is actually both continuity and character mistake error. In the scene where Kyle helps Josh with his math test, the first time we look at the test, Josh has stuck in problem number 3, and in the problem above, number 2 has already given the answer "A". The second time we see the test, they jumped in problem number 13, which ironically in the previous shot was half covered with the kid's hand, so obviously he couldn't look at it. Also he has now answered question 12 above as well. Moreover Kyle says the correct answer is X=49. It's a complete random answer that has nothing to do with either question 3 or 13. In question 3, "X" isn't even mentioned and is just a multiple choice between A and E. In problem 13, if we do the math, we have X. (00:16:15)
Answer: Yes, he is the one wearing the Fedora Hat. Look for him in Season 1 Episode 4.