I just looked at your pics again and could pick out the name Malliard. I thought most Malliards had splines. I learned something today. See here for the tool you need:
http://velobase.com/ViewTool.aspx?ID...0-742aa780b342
Good luck in finding one though. I would recommend disassembly of the freewheel in place. Once you are down to the core, you can use a pipe wrench to remove it. Destroys the FW, but you think it's a goner anyway, right?