BUR and MSY are approximately 1,665 miles apart by great-circle distance.
No. Roame's current schedule feed lists service with stops from BUR to MSY, but no nonstop service.
Airlines represented in the current schedule are Southwest Airlines (WN).
Aircraft listed in the current schedule include Boeing 737-800 Winglets (73H), Boeing 737 MAX 8 (7M8) and 7S7.