The one I'm most unsure of is Edna, but I'm going to go with ISTP based on my initial and final impression.

Edna Pontellier: ISTP.
Leonce Pontellier: ESTJ.
Madame Ratignolle: An F, definitely. ESFJ.
Robert Lebrun: EXFP.
Madame Reisz: INXP. INTP?
Alcee Arobin: No clue.

This is all off the top of my head, but I want to hear your input.