I would go with hunting/archery first off. Getting protective archers up and running for escorts and defense will be well worth it, and it seems that most agree that taking on the creative Louis early will be difficult - especially if he comes through with a few wonders to further increase the cultural defense figure. So given no super-pressing need for early city raiders, chopping (assuming we're not out to get early wonders), or whipping, BW could easily wait until hunting/archery are done.
With some protective archers, I'd be tempted to set up a few near Louie's land in an effort to snag some workers. I think a lot depends on whether you are on a continent of three or if there might be more out there. If it's only the three of you, it might make more sense to spread the common religion to be able to utilize your neighbors for tech trades.