Police are pretty lenient with bikes, up to maybe 10-15 mph over the limit. The thing they will ticket for is failure to come to a complete stop at stop signs.
I would also suggest Sonoma wine country and Highway 1 north for day one. If the feeling is right, you can explore Napa and Sonoma, then head north to stay the night somewhere like Fort Bragg near the redwood trees.
If you feel you've seen enough, and make it back to SF on day one, Highway 1 south of Monterey is even more spectacular than where the American Pie hotel is. The highway is much closer to the ocean in that area. It is a bit of distance to get there, however; about 2 hours before the good stuff. Once in Monterey, you can take Highway 1 through "17 Mile Drive" (huge mansion homes, Pebble Beach Golf Course) down to Big Sur.
If you want something completely different, you could head east to the Sierra foothills, and explore Highway 49 through the Gold Country. Again about 2 hours before the good stuff though.