Eduardo,
As the others have mentioned, travel by train would be far easier than by car. The high speed trains travel at up to 300 km/h, so that's much faster than a car, and a much more efficient use of your very limited travel time. Travel by train also means you won't have to be concerned with having an International Driver's Permit or buying Vignettes for driving in Austria (hefty fines if you're caught without the Vignette). You also won't have to worry about parking, speed traps or other issues like that. Using a car within cities is NOT a good idea!
You can research trips just about anywhere in Europe using the German rail website - https://www.bahn.com/i/view/USA/en/index.shtml
You can buy tickets for rail trips originating in Germany at www.captaintrain.com (they don't handle tickets for Austrian rail yet).
Are you using a guidebook to plan your sightseeing in Germany?
I agree with the others in that you have too many cities for a short 11-day time frame. Keep in mind that you have to allow time for travel between cities, which will usually be at least four hours in each case, as Lee pointed out. It would help to have more details on your plans. For example, is 11-days your actual time "on the ground" in Europe?