What a wonderful time to go to Munich. You will no doubt be able to enjoy the many outdoor cafes due to the nice weather. Not too hot, not too cold.

I'm going to defer to the experts on the restaurant ideas. I like the Augustinerhaus (brauhaus) personally, but you can get any type of food you like in Munich. Try a Doener Kebap if you've never been to Europe. It is the Turkish answer to fast food, and there are Doener stands everywhere. Any of the cafes around Marienplatz are nice.

To visit, in Munich, the Deutches Museum is good for a rainy day (Isartor stop on the U-bahn). It is enormous, and is a technical museum similar to the Franklin Institute in Philadelphia. You can get English language guides there. A short train ride to Dachau is a sobering experience, but certainly a worthy spot. There are several art and heritage museums in Munich, but I think the Alte Pinakothek is probably the most popular.

Further afield, you can take a train or car to the town of Bad Tolz. There is a very pretty town plaza there, and a pretty riverwalk (it is a little distance from the train station, though). Garmisch is the picture perfect little Bavarian town, although very touristy.