The best thing I could recommend for the War of the Sixth Coalition would be F. N. Maude's Leipzig Campaign: 1813, Napoleon & The "Battle of Nations", it's older but F. N. Maude is a well written author that specifically focuses on this campaign although I would recommend his book on the Jena Campaign for the better read which I would recommend for the Prussian War Effort on the beginning. Due to how Prussia was not a major player in the Napoleonic Wars, there isn't much on Prussia in the Napoleonic Era, most of the focus is usually on Austria (which I would recomment Gunther E. Rothenburg's Napoleon's Great Adversary or Dominic Lieven's Russia Against Napoleon for the Austrian and Russian effort against Napoleon).

I have looked for books for what you're looking for and there isn't much that isn't a part of a larger history of Prussian history. As mentioned, Prussia was a minor character compared to the struggles of Russia and Austria.

Edit; I was incorrect, Britain is the true larger focus of the wars against Napoleon.

For #2, I would suggest Michael Leggiere's Napoleon and Berlin: The Franco-Prussian War in North Germany, 1813 which won the 2002 Literary Prize of the International Napoleonic Society. Leggiere takes a skeptical eye to the role that pan-German nationalism played in 1813, but does note that Prussia managed some degree of popular mobilization, particularly its Landwehr, that fed the larger memory of a German uprising. Leggiere is also quite critical of Napoleon's grand strategy and his focus on taking Berlin, which Leggiere considers neither practical nor worth it. Leggiere also has an upcoming book with Cambridge about the wider 1813 war.