Back then, paper came in single weight and double weight. Now days, it is all double weight. Your Kodalith paper was probably single weight, hence the tendency to curl. I would take one of the prints, soak it in water until it is saturated, squeegee off the excess water, and lay it face down on a screen to dry. When dry, place it in a dry mount press between two clean mat boards for a minute or so at 180 degrees (I place my face down on a sheet of regular kitchen parchment paper in the mat board sandwich), take it out, and place it face down with a weight on top until cool. It should then be reasonably flat and undamaged, and you can proceed to do the rest.