>Paladin
Doesn't seem like Garnet. Her whole thing is that she broke away from an oppressive regime to live for herself as an independent free spirit. She's not into the whole "code of justice" thing.
Pearl is pure paladin, though.
>Monk
That's not much like her either. She leaps long distances, but all the Gems can do that. She doesn't use fancy martial arts techniques or use any of the monk's more esoteric movement abilities. She doesn't even fight unarmed, really; she has heavy gauntlets. Insofar as a monk even has a fighting style, it doesn't have a lot in common with Garnet's more straightforward, power-based style.
