Beijing south railway station to Chongwenmen Hotel

I arrived at Beijing South railway station at 10.30 pm. Can I take the metro from Beijing South Railway Station to Chongwenmen Metro Station (timetable)?
Could you guide me on how to get from Beijing South Railway Station to Chongwenmen Metro Station and from Chongwenmen Metro Station to Chongwenmen Hotel (No.2 Chongwenmen West Street, Dongcheng District, Beijing, 100062, China)?
Thank you so much!
Ha Nguyen