Revealing mistake: About 1/3 through the episode, they are in Roz's apartment. If you watch when people enter or leave the apartment, the door has a handle lockset. It also has a lock cylinder about 1 1/2 feet above it on both sides of the door. The problem is, the side of the door has no drill hole where the latch assembly should be: it's just solid wood. The lock isn't attached to anything that would enable it to work.
Visible crew/equipment: During the closing credits, Frasier is sitting on his couch with a platter of meat beside him. Eddie is sitting up and begging for it and while he is doing this we can see the distinct shadow of his trainer's hand and arm against the couch. The hand goes higher and Eddie waves his paws higher and as the hand goes down, Eddie lowers his paws. Eddie keeps his eye on the trainer during this whole sequence. Once Frasier gives Eddie the platter of meat, the shadow disappears.
Continuity mistake: Frasier meets Heather in the bar. She is reading a book which she has propped open on the bar, but as they talk, she takes it off the bar and closes it in her lap. A couple of shots later we see book is back on the bar and she is closing it again. (00:16:25)