With great trepidation because everyone has made it seem like such a big deal, Lorelai tells Luke that Max proposed to her. He has already guessed (or heard it on the Stars Hollow grapevine), and deliberately behaves in a nonchalant manner.
She is already taken aback, when he begins questioning her about what her plans for married life with Max are. Of course she doesn’t have any – she hasn’t even decided whether to marry Max or not, let alone thought about the reality of it.
Luke’s questions, which are quite rude and intrusive, have the effect of making Lorelai realise in a panic that she and Max haven’t had even one conversation about where they will live as a married couple, whether Max expects Lorelai to keep working, if they plan of having children together, or even how they will manage their joint finances.
Incidentally in this scene, you can get a good look at the coffee brand that Luke uses in the diner. It’s Hills Bros. Coffee, a brand from San Francisco sold since the early twentieth century. It was owned by Sara Lee in 2001, and is now owned by Massimo Zanetti Beverage USA.
Hills Bros claim their coffee has a bold, smooth flavour, but reviews for it tend to say it smells better than it tastes, and is generally pretty mediocre, although very strong and good value for money. Somehow Luke manages to make this average, budget-wise coffee taste amazing – which is quite a feat for someone who doesn’t drink coffee and doesn’t approve of it. Perhaps Lorelai and Rory aren’t as fussy about coffee as they think they are, or they are heavily biased by their love for Luke.