It can do the second, and it can create opportunities for the third. And it can help (or hinder) the first. (As a purely hypothetical illustration of that, it could implement a systematically racially biased criminal justice system and engage in a pattern of racially-suitable violence against a specific segment of the adult population, decreasing the number of two-parent present families in that segment.)
You're right about it affecting the first, though. Also as a purely hypothetical illustration, it might create a multiple generation-spanning dependency on social programs, make single parent households more economically feasible and socially acceptable as a lifestyle, and foster class warfare that downplays the importance of one's own choices by blaming only others for one's own outcomes.
It can minimize the value of those things for the people that have them... at least within its borders. I'm not convinced that's in anyone's best interests, though.