Is that a possibilty?
You didn't specifiy, so...
Landfall at Morgan City - Houma?
Yes since there is so much uncertainty this far out. Scroll up to see how there are models/projections to the East of New Orleans to Corpus Christi, Texas. Landfall at Morgan City - Houma puts New Orleans on the bad side of the hurricane.
Category 2?
I wouldn't rule it out. It is better to prepare for a stronger storm and breath a sigh of relief when it isn't that strong than to prepare for a weak storm and be surprised when it is stronger than you expected.