Lost material textures in Blender 2.83

I've been working on a file with Blender 2.7. The file included several materials with textures, that had been mapped on objects using UV maps.

After upgrading to 2.83, all my materials are still there but have no texture associated to them. If I go to the Texture properties panel I can see the textures with a "0" (as if nobody was using them).

I know about the Nodes editor, but I wonder whether I can just use textures. I have to export this model to FBX, and I'm not sure how I would use nodes to map textures on models.

• I edited my answer to include the connection for the files. Alternatively, since you have the 2.79 file, you could always try going to File > External Data > Pack All Into Blend, save it and try opening again with 2.8+ – Christopher Bennett Jun 20 at 15:51