Winery, restaurant, and activity recommendations for 2 days in Napa

Depending on where your hotel is - couple stand out restaurants in Napa are
Angèle - wonderful food and service next to napa riverfront
Oenotri - italian downtown
Bistro Don Giovanni - old time hangout, winemakers and locals alike

Yountville
Bouchon
Redd
Bottega

Rutherford
Can never go wrong with Rutherford Grill

St. Helena
Press Restaurant
Goose & Gander - good food but service sometimes slow

Calistoga
JoLē
Solage Calistoga

The two three star Michelin restaurants in the valley are: The French Laundry - (difficult to get into, 60 day in advance reservations open up) or the Restaurant At Meadowood (a bit easier to get access)

Best wineries - that all depends.
If your looking for the premium of the premium that you might have a chance to get in without knowing someone try:

Brand
Araujo Estate Wines
Dana Estates
Meteor Vineyards
Gandona Estate
Seven Stones Winery

Great visits with very good wines and hospitality are:
Marston Vineyards
Arns Winery

A rare tasting if he is around is with Dick Petersen - for oh so many reasons. (Richard Grant Wine - is his label)

Drivers might help get one into certain wineries - but you certainly don't need a driver to explore the valley.

Hope this helps

In Napa, i love Frogs Leap Vineyard and Duckhorn Vineyards  In sonoma county, i like VML winery and Truett Hurst Winery  that is where i would spend a couple of days!   Then if you head back to San Francisco on 101, stop at Lagunitas Brewing Company for a beer - thats an awesome spot!