The Not-So-Great Imposter - S5-E9
Revealing mistake: In Angelino's kitchen, when Mr. Angelino comes in and mentions steaks for eight people are needed, look behind him at the door's window. Janet is briefly seen watching (as if waiting for her cue to enter), then quickly ducks out of sight. A second later, she's seen again while Angelino asks Felipe to help him in the freezer. She then runs in the door with Furley as if they first arrived at that moment.
The Not-So-Great Imposter - S5-E9
Revealing mistake: The kitchen of the husband with the cheating wife is the same kitchen used for Chrissy's parents house in Fresno at the very end of the next episode end of episode "Jack's Other Mother" (S05E10).
The Not-So-Great Imposter - S5-E9
Plot hole: All these characters (the bookie, policemen, the sister, the husband) were after David Miller and all come to attack Jack in some way (thinking Jack is David Miller). However, a big city like LA most likely has several David Millers so why would they all assume this David Miller is the one they're looking for? So even though Jack's name could have been David Miller, how would everyone think he is the one they're looking for?
Suggested correction: These are questions, not plot holes. First, Jack and the restaurant are in Santa Monica, not LA. At the time, Santa Monica had a population of around 88,000. While the article was printed in the LA Times, there wouldn't be a lot of famous, professional chefs, working/living in Santa Monica named David Miller.