Greetings kushna, welcome to Flyertalk and welcome to the BA forum. Welcome on board, please continue to post. One thing that may help you are the items in the Stickies/Dashboard, here's one to get you started.

http://www.flyertalk.com/forum/briti...tart-here.html

As mentioned there, you need to split the journey if there is no BA service or direct services. So I can see some availability on those dates by splitting it into two searches, via DFW or ORD for example. If there was a direct service from EWR to MSY it would show up, but if changing aircraft you would need to split the query. So reverse engineering this from AA, if you have a Saver award showing up there, find out the precise route and then try that in ba.com

Good luck.