Is my mid/southern Spain itinerary doable?

The numbers mean the day of the month of October, not day number of the trip.. I'm thinking day trips to Segovia and Toledo from Madrid then back same day. Is a day trip to the mosque cathedral and back from Granada feasible too? I know the Madrid says are busy but is it feasible if I just want to see museum highlights? I'm not a big museum person but I know these are some of the best museums in the world so I want to give them at least a gloss over.

Any other recommendations?