I'm heading for bonus challenge 1, the culture in Germany.
Music:
In the years after the victory, folk music would be popular. I think that people like Heino would have been also popular ITL. But I think that folk music would have been longer "in", maybe until the mid 80's. In OTL there was a new german wave (Artists like Falco or Nena), I think that it would have also risen up, but it would have been opressed by the Nazi government, thus the new german wave gains a rebellious image, and the young people who are tired of going to the Hitler Youth, start to become addicted to the rebellious music. Rock music would have also been popular, but only in the underground because that was "nigger music" in the Nazi term. But coming to a conclusion, music would be pretty much the same in Nazi Germany than in OTL (Also because Germany has the third biggest music market). But with most songs sung in german of course.
Cinema:
In Nazi Germany, movies were very important for the regime, mostly because of propaganda reasons. But the main question is, would Arnold Schwarzenegger still have been a successful actor? My answer: yes! Arnold always wanted to be an actor and if not in America then in Germany. He would have also been the perfect picture of the "perfect aryan" (Despite the fact that he has no blond hair), because of his muscolous body. But would movies like Terminator still exist? Maybe, but I'm thinking of a germanized version of it. Look at this:
Die Maschine (The machine):
Hamburg, 2024:
In future a bolchevist-zionist conspiracy has brought down mankind. The world has been destroyed with nuclear weapons, because the conspiracy has manipulated the imperial cyber security system "Wehrnetz (defensenet)", which caused a nuclear armageddon. But they also created the "machines", android beings, which terrorize the surviving humans. But the surviving humans put themselves together to defend against the machines. The leader of the people is "Johann Kerner (ITL John Connor)", who brought the machines and the conspiracy almost down, and has brought mankind close to victory. In order to prevent mankind to win, defensenet send a machine from type "MX-101" to the Hamburg of 1984 to kill Johann Kerners mother "Sandra Kerner (Sarah is a jewish name and calling a girl by a jewish name would have been a scandal in Nazi Germany.)". But the humans are prepared and send "Karl Reiss" to the past.
Hamburg, 1984:
In the past, the MX-101 and Karl Reiss try to be the first who finds Sandra Kerner. In a "Tanzhalle" (Dancehall, but more conservative), the machine and Reiss fight in a shoot-out against each other, with Reiss escaping with Kerner. Reiss and Kerner become busted by a local SS commando, but they were found by the machine. The machine breaks in the local SS headquarter, and shoots several SS-men down, but Reiss and Kerner can escape. They both flee to a motel, and have sex with each other (Ironically Johann Kerner is the son of Reiss because of that). But the machine finds them once again, and chases them to a factory. In the fight, Reiss is killed, but with her last power, Kerner can kill the machine with some explosive.
After killing the machine, Kerner flees to the Ostmark (Austria in OTL), where a Hitler Youth member takes a photo of her. It will be the photo what Karl Reiss will hold in his hands in future.
Cast:
The machine: Arnold Schwarzenegger
Karl Reiss: Jürgen Prochnow
Sandra Kerner: Iris Berben (If someone knows a better german actress, let me know)
But of course there could have been a "Terminator", maybe with Stallone in the main role and hey, two action franchises (Rambo and ITL Terminator), that's not bad. Speaking of Stallone, I think that Rocky IV would have changed a bit. Rocky doesn't fight Ivan Drago anymore, it's now "Johannes Drach" in Berlin, right infront of the führer. Before the fight, Rocky trains in the black forest to make him stronger than ever (Damn, this makes me wish a Rocky IV set in Nazi Germany. Imagine that, "Deutschland, Deutschland über alles" sung by the crowds before the match). And maybe Rambo III would have played in some different place (I'm thinking of persia or turkey). And another matter is, would Bruce Willis still exist? OTL, he had a german mother and a american father, but would they have still met each other with a victorious Nazi Germany? I highly doubt, except Willis father was taken prisoner in Germany and learned Wilis mother to know. Anyways, I think that there would have been plenty of high quality german movies, with a high number of action movies, most of them with Schwarzenegger.
Television:
I don't think there is much to say, there are no private television stations, only state-controlled television. The most popular news broadcast is the "Tagesschau" (Same as OTL), also popular is the Sportschau, with reports from the german football league. Because there nothing more to say, I'm going to the next point.
Sports:
Hitler didn't like football or boxing at all (For him, this wasn't real sports, he only liked both because the people liked it, and Germany had much success on that sports). Nonetheless, Germany would rule football in europe and in the world, only brazil is able to compete with them seriously.
But a big issue is also motorsports. Hitler loved cars, and he supported german car creators (Ferdinand Porsche for example) heavyly. So german manufacturers would celebrates many victories in formula one (I think that there would still exist one) or in the DTM.
Coming to the DTM, the DTM (Same as OTL) would be a bit more important to germans like formula one, because this would have been the place where the manufacturers messed with each other. And drivers like Klaus Ludwig would have become some kind of people's heroes. But what I wonder, what would have been with Michael Schumacher, or his brother Ralf or Heinz-Harald Frentzen, or to think wider, what would have happen to Heidfeld, Rosberg, Sutil, Glock, Vettel and most interestingly to Kubica?
Anyway, that's it for the moment.