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The back has a crystal as well indeed. I have not educated myself about it much (yet, although it looks impossible to understand), but apparently you can navigate with it. Interesting read herehttps://www.hodinkee.com/articles/the-history-and-science-behind-the-lindbergh-longines-hour-angle-watch
This example is a 38mm from the late 80s and has been worn a lot, which makes for a nice patina (bezel enameling has faded) and even more nostalgic to my eyes.
Nothing wrong with Longines, just a bit out of vogue. Glad you got an opportunity to wear it, the hinged caseback is very unusual - presumably there’s another crystal over the movement too?