Do you consider a head of the household an authoritarian government?

I would consider traditional patriarchal ideas of the head of a household as hierarchical, and that there's a significant body of work in anthropology that directly relates the outgrowth of complex and hierarchical societies from such family arrangements. So, in the broadest sense, yes. In the narrower sense of a competing polity with a monopoly on force compared to extant states, no, but that's only relevant insofar as those states continue to exist.