I love Berlin. Been four years since I was last there so I dont remember everything and things may have changed but there are some things I enjoyed:
1. Go the the New National Gallery - fantastic building, perfect exhibition space.
2. Walk down Karl Marx alley
3. Buy some prosecco then go rowing on Tiergarten lake
4. Barbie Deinhoff's Bar
5. Die Weinerei (honesty bar!!!)
6. There was a fun antiques market near Tiergarten station but I dont know if its daily
7. Absinth Depot is an absinth shop with many varieties and tastings
8. The Holocaust memorial is power and you are a jew
Gorlitzer Park is the place to go if you're looking to pick up weed
With regards to restaurants, when I went I used to stay with my friend who worked summers at a hostel there so he was the one with the local knowledge and as a result I remember some good places but not where they were or what they were called (also he is tight so we didnt eat anywhere really fancy but that should suit you and Berlin is not a fancy eating kind of place anyway) including a great little Jamaican place and a great little Vietnamese place, however they may not still be there, but if you are interested I can ask him if he remembers where they are.