Paige is washing dishes from the previous night's dinner, which Piper states was delivered pizza for the family. The stack of dishes easily contains over 100 plates. Baby Chris is too young to eat solid food, which leaves 4 adults and 1 toddler. They would not have dirtied anywhere near that many plates in one takeout meal.
The night club scenes are set in 1899 and "Black and White Rag" is one of the pieces of music played on piano in the club. George Botsford did not actually compose this piece until 1908.
Phoebe doesn't know much about time loops. However, she should, considering the events from The Good, the Bad and the Cursed (2001).