I'd say lunches at Galatoires & Commander's Palace.
Dinner could be a number of places, but my first thought was K-Paul's (it's a comforting, cozy place for me - always great! not cutting edge for sure, but I'm usually not looking for that anymore)
Seeing that you are coming from Lake Charles however, I am wondering if you are from Lake Charles. If so, then maybe you'd like something different.
Of course, late night snack of Cafe au Lait & Beignets. I definitely could not have that for breakfast, and it would ruin lunch! I say skip breakfast & go for an early & lingering lunch if you can.
For your first trip
breakfast- Cafe Du Monde
lunch 2 -Pat O'Brien's for 2 hurricanes in the piano bar(after 2 you are on your own)
touristy but a first time must
Dinner -K Pauls still the experience
Late -Vaughan's to hear Kermit Ruffins(take a cab rough area club is fine)
used to a still may have free food on thursdays(crawfish in season_