Advice 3 days itinerary in Beijing

Hi all,

Would like to ask for advice if the following itinerary will work?

Jan 1,2016 (Friday)
- Arrive at noon and check in in Hutong (Thinking to check-in after visit Forbidden City, because it will close at 4:30pm)
- Start travel to Forbidden City (Opening hours: 8:30 - 16:30)
- After that , go to Jingshan Park (Opening hours: 06:30 – 20:00)
- Dinner at Wangfujing street

Jan 2, 2016(Saturday)
- Badaling Great Wall
- 789 Art Zone (Is it worth to visit?Or any other place to visit instead?)
- Dinner at Bianyifang (New World Shopping Mall)

Jan 3, 2016 (Sunday)
- Morning, visit Summer Palace (Opening hours: 07:00 - 17:00)

- Afternoon
> Nanluoguxiang
Yandai Xie Street
Houhai - Back Lake - Shichahai

Go to Airport and take the flight back home

Thank you so much!