Excuse me - but I don't have time to look things up (the proper German names) tonight. If the area you're talking about for running is the path that starts about where the government buildings are - near the Reichstag - along the river - but on the other side from the train station - it looks like a great place for running. I don't know how far it goes - but we took a long walk there from our hotel - Ritz Carlton. In between the RC and the "riverwalk" - there was a park. I'm sure you could combine a really nice run in the park - and along the river. Check with your hotel concierge for the best routing.
I second the recommendation for Vau as a solid one star Michelin restaurant. I can also recommend Vitrum at the Ritz Carlton (one star Michelin but tastes like two). Robyn