4. Fascists always land on their feet.
Both ex-fascist antagonist, Csetneki (whom I mentioned above) and Gulyás, who served the Horthy and the Szálasi regimes before, tormenting Pelikán is some ways, now they exploit the rules and inner working of the system to shit on Pelikán some more.
It is true, irl many low level communist thugs were thugs of the previous regimes.

5. The White Horse
On one hand it's a mythological creature of Hungarian folk tales, and the Hungarian mythology, a symbol of power originating from the gods or the divine order, the animal form of the táltos (Hungarian shaman).
On the other in general leaders frequently rode white horses all over the world and depicted on the back of those (think of Napoleon).
It's a famous meme about Horthy arriving to Budapest on the back of a white horse in front of his troops, after the Romanians beat the 1919 Hungarian Soviet, to take over the country. Similarly when Pelikán in jail, the bishop mentions the Americans arriving, and Pelikán retorts: "I know, Mr Truman on a white horse". There's also the painting of a bald guy - uncanny resemblance to Rákosi Mátyás - on a white horse a soldier and a sailor on his sides in the room of Comrade Virág. In fact Comrade Virág appears from "behind" the horse - it is painted on a door - as an embodiment of the state power, a shaman of communism.
Now that we are at this room and Rákosi...