And if it was me, I wouldn't skip Meiji shrine. Cars can get in there somehow since the temple offers a service of blessing them. I think the car entrance is on the side not far from Yoyogi station, but it is harder to find. Also, you may need to have a good story (in Japanese) to get through.

The Keio plaza is right next to the Oedo subway line which takes you close to Tsukiji. If anything, I'd take the first subway and possibly a taxi from the closest station, Tsukijishijo.