Let's back up a minute here...
What molds have you got? (Color, smell, etc.)
I do find it a bit odd to have mold growing on oil (only thing that would make sense to me is the oil all absorbed into the cheese) But also, I do not know really just what the effect of oil on mold is. I know its effect on the bacteriae we like on our rinds, it stops them growing. But I don't know with molds, could be some molds can grow on it.