This will be my very first trip to Europe, and I thought Munich would be a good base for me. I'm primarily interested in admiring the history, culture and the scenic beauty of the area. I was also hoping to perhaps visit Zurich, Lucerne, and maybe Salsburg. I'm wondering if visiting three countries would be too much for a 10-day visit though. I know Switzerland and Austria are small, and spending a few days in each of the areas mentioned above just seems like a good way to see the places in which I'm interested. My more specific questions are as follows:
1. Will a Eurail pass enable me to travel between Munich, Zurich, Lucerne, Salsburg (and any other smaller cities)?
2. Is September a good month to visit? I enjoy the crisp, cooler weather, and it would seem that the crowds might not be as large and it would be a more quiet experience.
3. If these locations are too much for a 10-day trip, which areas would be ideal for a first-time visitor? Keep in mind that, although I want to spend as much time in each place and to absorb the areas as much as possible, I also consider travelling by train a part of the experience as I hear the scenery is breathtaking.
4. I'm generally drawn to places that are smaller in population. I'm sure I would want to spend some time in Munich, but I doubt I would enjoy staying there my entire trip. Seeings the Alps, small villages, castles, and lakes, would be my primary goal.
This is obviously just a start for me, so any advice would be greatly appreciated. I would prefer not to drive at all, so using the Eurail pass seems like the way to go.