Hello, thank you for your question.
Personally, I have not lived in Norwich House before. However, I have found a pretty good video, showing you this accommodation:
Norwich House. It goes over the main advantages and disadvantages of living in Norwich, from a perspective of a current resident. Thus, you may find it helpful!
Yes, East Slope is quite popular, indeed. Still, you can always put this as one of your options on your application. Most certainly, if you do so, you will not be disadvantaged in any way!
Generally speaking, the bigger flats (like Norwich House) tend to be the most social. Still, from my personal experience of living in smaller size accommodation, I would argue that no matter which type of on-campus housing you choose, there will be plenty of opportunities for socialising! Equally, the university offers opportunities to join numerous clubs and societies, which again are a great avenue for meeting new people!
I hope this helps! Let me know if you have any further questions.
Best Wishes,
Kasia (4th Year Medical Neuroscience Student, MSci with a Year Abroad)