Just before watching Sam's appearance on Larry King, Niles takes Frasier out on his balcony, looks up at the night sky and says, "Just look at those stars!" Generally speaking, it's not possible to see the stars in a big city due to the light pollution.
When Sam leaves Frasier's apartment, she walks off to the left, but the elevator buttons and the stairs are both to the right of the shot.
When Sam confesses to Fraiser that she ran out and bought something that he liked at the store for him, Frasier asks shyly what it was. Then Sam takes out a red box from her purse. Frasier says recognizing it: "And you bought this for me?" Sam then mentions it's from Cartier, and Frasier is clearly surprised and says "Cartier??" He must have known it's a Cartier item, as they had seen it together at the store.
When Sam agrees to go out to dinner, Frasier leaves the store immediately, without getting his store credit.