Considering Kubernetes 1.13, how does compare the features of the Job object to the features available around the units of systemd? And vice-versa?
They do not meaningfully compare. The closest you could say is that a Job object is vaguely similar to a oneshot-mode service unit in systemd, in that both run a process until completion and that's it. But a service unit can't run multiple copies and systemd's containment features are different from K8s/Docker.