How is this trip looks like? It is almost 15 days trip

September 4: Flight arrival in Beijing (evening, landing around 4 PM).
September 5–8: Beijing (Stay near Qianmen or Dashilu).
September 9–11: Xi’an (stay near Bell Tower or South Gate).
September 12–14: Chongqing (stay Jiefangbei or Hongyadong).
September 15–19: Shanghai (stay Fairmont Peace Hotel, Waldorf Astoria on the Bund, Nanjing Road, and People's Square).
September 20: Fly back.

Please suggest me if this is good itinary and where to stay?

Anywhere you would suggest cutting a day and add nearby village or something interesting?

Any suggestions? This is my first time traveling this much with my wife.