The Shilinxia Scenic Area, Jingdong Grand Canyon & Karst Cave, Flying Dragon Valley in one day

I am afraid that the time may not be enough to include all four places on one day. Two or three places in one day is proper.

If I go to that places by rent car, how much do I have to pay a toll fee (two way) from and to Beijing?

I have no idea on the cost, you should contact a local agent for the price.

If I have only 1 day, which location that you suggest to us to see in winter?

Have you ever visited the highlights of Beijing, like Forbidden City, Great Wall, Summer Palace, etc.? If not, I suggest you finish the popular destinations rather than the suburb area. Winter in Beijing is long and chilly, so i may be tough for people from tropical countries, but it is a good experience if you can see the snow covering on the old featured buildings.

In December, I will visit all that you have said (Great Wall, Summer Palace and Old Summer Palace, Tiananmen Square, Forbidden City, Beihai and Jingshan Park, Temple of Heaven, Taoranting Park, Shichahai/Walking around Hutong, Street Market (Qianmen dan Donghuamen), Wangfujing and Silk Market), but I still have 1 day for free. I do not have any idea again :)
I just receive a message from my friend that Shilinxia are close in every Winter (start from November)
Need an advice, please :)

I've just contacted Shilinxia Scenic Area and was told that the site are close in every winter, from December to the next February. If your itinerary covers the highlights of the city and still have one more day free, you may consider going skiing in winter, there are several good skiing resorts in BJ, such as Nanshan Ski Resort, Badaling Ski Resort and Jundushan Ski Resort.