http://www.wlf.state.la.us/
This is for the Baton Rouge area. Different parts of the state have different seasons and regulations. The link provided is the Wildlife and Fisheries website (DNR)
Archery
Oct. 1-Jan. 31
Muzzelloader
Nov. 11-17
Jan. 22-28
Still Hunting no dogs
Nov. 18-Dec. 8
Jan. 8-21
Hunting with dogs
Dec. 9-Jan. 7
I hunt in the nothwest part of the state and it's piney hills so it is a little different than hunting in the southern parishes. LA has a lot of public land but, you will have a lot of competition hunting it in the early season and there are more dogs then deer in december in the woods. I am not sure where you are from or what you normally hunt so I can't compare it to what you are used to. Let me know if you would like anymore information.