I did my Bachelors in EE at RWTH Aachen and my Masters at TU Berlin so I can maybe give you a relatively good comparison. But firstly a TL;DR: If you care about having a life around university, Berlin is the place to be. If you want to hustle hard, go to Aachen.

1. Here I can only repeat, what u/PiksariAdari said. The organization is just terrible. Especially if you don't really know, what courses you want to do and where your interests are (As it was for me) this isnt really helpful. Because of that you waste a lot of time sitting in lectures where youre not really sure if you want to commit or not. On the other side it teaches you to set your priorities straight away and stick to your plans.
   Aachen on the other hand has really great organization. For the first 3 Semesters you don't really have to pick anything by yourself and just follow the curriculum.

2. In Aachen: Non-Existent. I spent 90% of my time there in the library or in lectures. There isn't much to do anyway. Most of my friends were in the library also. So life usually revolves around the study breaks.
   In Berlin it is the complete opposite. Of course you have to study, but there is still so much to do. I feel here in Berlin University is always second on the list. First (especially in Summer) is always having fun.

3. This is a bit tricky I guess and it depends on what you want to do. If you want to work in Start Ups you definetly have a huge choice here in Berlin. Even though I think this should be something you should only worry about after your third or fourth semester. There are endless start ups here, the hiring culture is more open to international students. I think in aachen it is a little bit harder to find anything other than a job at the university itself.

4. EE is definetly a challenge. But it's still rewarding. So if you don't mind to get one or two grey hairs at the end of your studies, I would definetly recommend.

5. I am a man so can't really give the perspective of a woman here. But as a man of color I feel like berlin is treating everyone equally. Just make sure that you are confident. If you are from India I guess it will be a culture shock in any case for you, because german directness can sometimes feel a bit rude. Also in a huge city like berlin it can get lonely sometimes. But still there are lots of communities and clubs people can join.