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First harmonic analysis, is it accurate?

I don't usually upload a harmonic analysis. But I decided to do so for Rondo a Cappricio. I was wondering, do I have the key changes in the right place? Is my Roman numeral analysis for each of the keys accurate(I had to use lyrics for the Roman numeral analysis and framed staff text for the key changes, not ideal but it's okay)?

I went to the first phrase of the Bb major section and then decided to upload it. I am still analyzing the rest of the piece, but what do you think of my harmonic analysis so far? Here is the link:

The Beethoven Variations

This is my second attempt at doing a Theme and Variations. With my first attempt, I used the A minor section of Rondo Alla Turka. But I didn't get very far with it. So this time I'm taking a different theme as my original theme and I'm varying it. It is the most well known theme in existence. Yes, the original theme that I'm varying is the first theme of Beethoven's fifth.
So far I've come up with these ideas on how to vary it:

  • Fugue(this is probably going to be the hardest variation, so why not just get over it now and do the easier variations later)
  • Triple meter
  • Major key

But I think that it deserves like 12 variations(also 12 is the most  common number of variations I see in a Theme and Variations followed  closely by 9).
I'm not even sure if it is possible to marchify the theme, given that it is already in 2/4 time. To make it easier on myself, I went for a string quartet arrangement of Beethoven's fifth instead of the full orchestra version that Beethoven himself composed. Do you have any  ideas as to how I could vary the theme?
Here is the score as it is right now. I will update this later when I have more variations. Anyway, here is the score: