From Hotel Kapok to Olympic Village:
you may first walk 10 minutes to Tiananmen Square(https://www.travelchinaguide.com/attraction/beijing/tianan.htm), and then take Beijing Subway Line 1(https://www.travelchinaguide.com/cityguides/beijing/transportation/subway-line1.htm) from Tiananmen East to Dongdan, then change to Beijing Subway Line 5(https://www.travelchinaguide.com/cityguides/beijing/transportation/subway-line5.htm) to Huixinxijie Beikou where is just about 1.3 kilometers away from the Olympic Village.
From Hotel Kapok to Yansha Outlet:
you may take Bus No. 52 from Tiananmen East to Jinsong Bridge East, and then change to Bus No. 801 to Haojiafen.