Am not Marriott, but ... LNF is not a rate code, but instead means the "look no further rate." You get this rate when you do a no rate code hotel search on Marriott.com. Marriott guarantees that the LNF rate is the lowest rate available. As explained in the link provided in this thread, if you find a lower rate with identical terms on another website they will give you a rate that is 25% less than the lowest rate found.

I think your question is does Marriott's lowest rate guarantee apply to AAA rates & I don't know. Hopefully, Marriott can answer that question for you.

You will always receive points & elite night credit for any paid night booked through Marriott.com. The only time you won't receive such to my knowledge is with a price line or hotwire stay.