Is there any halal restaurants nearby Traders Hotel Beijing? What about the weather end Oct 2013?

Yes, there are, but you may need to walk for several minutes. From your hotel, you can walk along Jintong East Road to reach Jinghua North Street. Along Jinghua North Street, there is a muslim restaurant called Xibu Mahua Restaurant. It is located at No. 8, Dongdaqiao Road.
The temperature may be around 5 to 15C during that time and it is suggested to take you T-shirts and wind coat when traveling.