You want nightlife and you are thinking of going to Frankfurt and Hamburg? wtf
Of the three itineraries you made, I'd go #3. Stuttgart was a really nice city and if you're into cars the Porsche museum should be open now (was under construction when I was there 4 years ago). The Mercedes museum was also really cool.
Prague was an amazing city for architecture and women. Vienna was a 'meh' for me, but I was sick during my time there. Munich was a really nice city as well and lots to do, you can do a castle trip which takes you to a bunch of castles in the region and the scenery around there is amazing (Bavaria). I'd go Berlin though too if you can, one of my favorite cities.
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