Okay, a few ideas:
1. Your ideas are good so far.
2. If you're ready, perhaps he can show you a few introductory Schenkerian concepts--linear intervallic patterns, voice exchanges, overlappings, register transfers, and other things you don't need to be an expert to spot. This is something that will directly improve your playing. It should not take long.
3. Species counterpoint. Always productive to study.
4. Pick an era and a genre and just go for it. Baroque Suites, Classical Sonatas, Romantic short pieces, cyclical pieces, show pieces, etc.
5. You could do an overview of the main aesthetic concepts of each era--the Baroque doctrine of the affections, Classical ideals of ease, balance, symmetry, Romantic longing after the unattainable, etc.