Does each language have as much (or about as much) skills?
No. Last time I checked it was from about 30 to about 120 skills, with Esperanto, High Valyrian, and Turkish at the low end, and Norwegian and German at the high end. The number of lessons varies from about 300 to about 600 (I suspect 600 is an underestimate). Someone with a script for summing them could give you precise figures.