Under the Patronage social policy tree:
3. "Consulates" says that it gives a +20 to the resting influence of city states, which it does, but it also gives +20 instant influence with city states, which I don't think is intended.
4. "Scholasticism" does not give any science from city states that are friends, but not allies. City states that are allies do give science, but mousing over city state allies in the diplomacy pane reveals that, at least in the interface, the amount of science is not +3 per era, but varies depending on the city state. The science counter at the top of the interface, when moused over to reveal the details of science income, reflects earning the amount of science from city states as their sum would suggest, but again, what they suggest is not what the social policy states that they should give.
This policy seems to be behaving like its unmodded counterpart, in which you earn science from city states depending on their own research; this would account for the varying amounts displayed in the interface. An alternative explanation is that this policy is working as intended, but the interface does not reflect that.
Under the Exploration social policy tree:
5. "Pioneer Spirit" gives 2 defense units, 2 workers, and 2 settlers, but does not reveal the world map.
6. Red Fort says that gives all cities a border expansion of two (which I assume to be out to the second hex ring), however, the borders of all of my cities, even a brand new one with 1 population and no border expansion, were not expanded. That said, when I founded a new city, it started two hexes out, so the Red Fort does have an effect on cities founded after its completion. Perhaps it is working as intended, and if so, I would suggest editing the interface text so that its effect is more clear.