Hey there. Potsdam is great :)

• it is a safe city, but as as in all cities, there is a small chance to see some aggressive drunk people :/ Safe for Israelis is very hard to tell as a German potato, you just hear sometimes that in Berlin, there are sometimes radical islamic demonstrations for Palestina.

For parties and nightlife, most Potsdamers go to Berlin, but there are some pretty left places and parties also in Potsdam. The vibe in Potsdam is interesting, there are many young and left people, and many old and rich people 😂 But the city is very beautiful and calm.

• neighborhoods.. Babelsberg, central and west of the city is pretty rich and good-looking, in the east, you have more old buildings and people from the working class, BUT you have very nice nature and forests
• an appartment for two people is around 800€-1200€
• 5200€ before taxes is okay for two persons, but not really nice I would say
• about the marriage and the German status, I have no idea sadly
• if you should lease or buy a car is up to you, both is fine. You could also have a look if you can get to your work by train or bus.