Visible crew/equipment: During the dinner scene, in some of the shots facing Junior, the reflection of the boom operator (wearing a watch) holding up the boom pole/mic is visible on the glass, toward the top left side of the screen. Additionally, in two shots facing Junior (POV beside Carmela's right shoulder), we can see part of a black reflector screen (collapsible type) between Junior and Carmela.
Continuity mistake: At dinner, when Meadow gets upset, she leaves the table and heads upstairs, so Carmela leaves the table and follows her daughter. Then, when Livia gets insulted, she tells Junior to take her home, and she too leaves the table. The problem occurs when Tony tells Junior, "You mangia, Uncle Jun', she'll come back," and in the next shot facing Junior, the reflection on the door shows Carmela and Livia are still seated at the table.
Continuity mistake: In the pilot Artie and Charmaine Bucco had two kids, Art and Melissa. But in this episode they refer to their daughter as Kiara and their son is never mentioned again.
Suggested correction: Nope. You should rewatch. Artie and Charmaine have 3 kids; Chiara is the eldest, and their two younger kids are Art and Melissa. In S1xE13 "I Dream of Jeannie Cusamano," Tony, Carmela, Meadow, and AJ wind up at Nuovo Vesuvio during the thunderstorm. Then Charmaine tells Meadow and AJ, "Chiara and her brother and sister are back in the kitchen." In S4xE6 "Everybody Hurts," Charmaine tells Artie, "We'll start working on your empire right after we pay the 10,000 dollars of orthodonture Melissa's gonna need this year."
