Rancher has templates for environments. One of the templates is for creating an environment with Kubernetes orchestration.
K8S has clusters with nodes. Apparently, when you create a Rancher environment following the K8S template, you establish a K8S cluster.
Questions I could not answer clearly looking at the documentation:
An environment contains a set of machines (hosts/nodes), an orchestration engine (kubernetes being one of the 4 options), and a set of members with different roles defining access to them. You cannot have more than one kubernetes cluster in one environment.
Yes, the kubernetes term is node.
If you want kubernetes you should really be using Rancher 2.x instead of 1.x. 1.x is in maintenance-only mode and support will eventually be dropped. 2.x is entirely based around kubernetes and is far better integrated with it.