Very nice! I don’t know anything about that razor. Was it made by Gillette? What years were they made? Is that a special tool for opening the razor in the second photo?
Made by Gillette in 1958 and 1960, the first production adjustable. Very expensive when new and not common now. There are no special tools to open, that is just what the toggle does to open the razor.
They are mechanically complicated and not quite suitable for mass production at a reasonable price, that is why Gillette developed the Fatboy to sell to the popular market, then improved that a few years later to create the Slim.