This keeps getting better and better!
From one "barn find guy" to another, ya done great, Darren! This is proof that there are still very desirable professional cars hiding out there, just waiting to be discovered and returned to their former glory. The extra goodies you got with it are icing on the cake...congratulations!
There should be a round hole in the middle of the casket table, which will accomodate that Allen wrench. Rotating the wrench 'round and 'round counter-clockwise should permit the table to be removed (not that you have any intention of doing that, but that's what the wrench should be in there for.)
As for the other tool, 3-ways often came with what I'll call an "auxilliary" bier pin; a round rubber "peg" mounted on the end of a short aluminum bar like the one you have there. The other end with the aluminum "peg" was designed to fit in the bier pin holes on the casket table, making for a bier pin "extension" of sorts to accomodate a rough box or any other container that might be longer than the table itself. I can't quite tell from the picture if that's what you have there, sans the rubber "peg" ?
I am very much looking forward to seeing this car in Hudson, along with Tom's beautiful 1960 Eureka landau. What a sharp, sharp pair of cars that will be!