can we run a windows docker container on linux host? also can take a RDP to windows docker container hosted on linux from other windows machines in the same network?
"windows docker": if that means docker for windows, running Windows container, then no.
You could run windows container on Linux the same way you are running Linux Container on windows: through a Virtual Machine emulating the target host.
Update Dec. 2016: Kubernetes 1.5 might offer a solution: see "Linux machine with docker deploy windows container"