The title and early fire may be a play on the old expression "getting on like a house on fire".

The Morgendorffer's have a gas stove.

Jake actually has clients; La Grande Hotel is one of them.

La Dolce Vita, directed by Federico Fellini:
"A newspaperman who works for a shabby scandal sheet becomes intimately involved with the decadent high society individuals his publication so often maligns. The immoral lifestyles he witnesses nearly paralyze him with shock and outrage."

Mr. O'Neill has the class reading The Red Badge of Courage, which is about a Union soldier in the Civil War who comes to grips with his early cowardice to return to combat.
A little commentary on the main characters here...

Daria is reading Machiavelli's The Prince, which is a book of his recommendations on how a leader should gain and hold power. The particular brand of amorality recommended in the book was a big influence on later leaders, including Hitler. It gave rise to the term "machiavellian", but common usage of the word doesn't really square with his actual recommendations.
Might be another little commentary on the characters here, but since Machiavelli only advocated this sort of thing for rulers, not quite applicable.

Quinn seems to care more about the guy being a computer geek than about all her friends thinking he's cute.
Of course, if Bobby were any good, why is he working as a bellhop for a hotel?

The scene at the end, with the trees reflecting off of Daria's glasses as she's in the car, is a reference to the end of "Queen Christina" starring Greta Garbo.