First for Louisiana: according to StateLiquorLaws.com, Louisiana has no abnormal rules, and " Southern Louisiana has some of the least restrictive liquor laws in the country." Beer, wine and liquor can be sold in grocery stores, including on Sundays.
Sunday Sales In the City of Lake Charles, it is illegal to sell or serve alcohol between the hours of 2 a.m. on Sunday until 12:01 a.m. on Monday.