I believe you are calling the bearing races 'large thin'. Those are all number 16.
Then you have a single thick shim. You need to measure the case to see which shim size goes in. Never seen one with two shim, but you could I guess.
I would put ONLY that shaft in the case, built up with the shims that you believe are correct, and no gasket on the cover. Make sure you can spin that shaft and it is not too loose.