Pericles is called "Thraex" during the Primus. Thraex was a gladiator class used to denote either Thracian descent or helmet, shield, armor, weapon, and fighting style.
When Batiatus is introducing Crixus in the primus, he calls him murmillo. Murmillo was a type of gladiator class that indicated Crixus as a Gaul, however it was a label given to show a level of inclusion of Gauls into Roman society. It indicated a specific type of helmet, shield, weapon, and armor. Batiatus most likely added the term in the introduction in order to gain favor with the crowd after Crixus' long absence. Crixus' helmet, armor, etc. are all fairly accurate to his class.
When Spartacus is battling his fever, he dreams of Sura dressed as Illithyia and she calls him "Spartacus." Though it's only a dream, this is the only time that Sura calls him by a proper name of any kind; even when speaking to him, she always referred to Spartacus as "My Husband."