Creamino is lutino + par-blue. (for clarification)
Red eyes could indicate another mutation as well, as already stated. (i.e. cinnamon or fallow - although cinnamon eyes darken with age)
Parrots have ZW chromosomes (as opposed to humans that are XY). Males are ZZ and females are ZW. Sex-linked mutations can only be carried on the Z chromosome and not the W chromosome.
If a male has the lutino gene on one Z chromosome but not the other, he is considered "split" for the mutation. If he has the lutino gene on both chromosomes, then he is a visual lutino. Males can transfer this mutation to male or female offspring.
In hens, if they have the lutino gene, they are automatically visual as there aren't any other genes to "hide" the lutino gene from being visual. Females can only transfer this mutation to their male offspring, since hens will get the W chromosome from their mother and the Z chromosome from their father.
In short, if a bird inherits the lutino gene visually from it's father but the hen doesn't carry the mutation, you know that the offspring is automatically female!
That may be more confusing an explanation than you asked for!
Human males are XY and females are XX. In parrots, it's the opposite. (reptiles also have the ZW chromosomes).