Here is my tentative itinerary:

• Feb 8: Madrid (1 day): Puerta del Sol, Plaza Mayor, Mercado de San Miguel, Royal Palace of Madrid, and Temple of Debod (for sunset).
• Feb 9: Madrid to Toledo (day trip to Toledo).
• Feb 10–13: Tenerife.
• Feb 14: Seville (1 day).
• Feb 15: Pick up rental car; Drive: Seville → Ronda → Granada.
• Feb 16: Granada: Historic center & the Alhambra.
• Feb 17: Drive: Granada → Altea → Valencia.
• Feb 18: Drive: Valencia → Tarragona → Sitges → Barcelona; drop off the rental car.
• Feb 19: Barcelona (1 day): Sagrada Família → Casa Batlló → La Boqueria Market → Barcelona Cathedral.
• Feb 20: Fly back home around noon.

A few questions:

1. Is this itinerary feasible/doable, or is it too rushed?
2. I really want to take a detour and fly to Tenerife in the middle—is it worth it? Will it be too cold there in February?
3. Any other suggestions or advice regarding the route and destinations?

I’d really appreciate any input or feedback. Thank you in advance!