At 9 minutes 18 there is a shot of Jimmy Wolfinsky's mugshot with his name, Jimmy Wolfinksy, printed on it. The folder the photo came from is labeled 'Wolfinksy, Jerry'
Several times while Castle is bouncing Cosmo, he and Beckett do not properly support the "baby's" head, yet it stays perfectly upright. In addition, the baby is a different size than the doll.
Before Ryan goes into the convenience store to buy lottery tickets, he says that there is a "quick pick calling his name". However, when he is shown inside the store, he's reading off a list of numbers to the cashier. Quick-picks have numbers that are randomly assigned by the ticket machine; it is not necessary to provide numbers.
Beckett questions Castle putting the baby in a turkey outfit and he corrects her that it's a turkey onesie, emphasizing the word onesie. What he calls a onesie actually looks like footed pajamas and is just a striped pattern, while the turkey is on his bib.