Carolina phase is normal. Okeetee and Miami phases are not normals (IMO). Nobody has worked out the genetics of those phases, though.
Many herpers define heterozygous (AKA het) as having a gene pair made up of a normal gene and a recessive mutant gene. Such snakes appear normal. Standard genetics defines heterozygous as having a gene pair made up of two different genes. In other words, the gene pair may be made up of a normal gene and a recessive mutant gene, a normal gene and a dominant mutant gene, a normal gene and a codominant mutant gene, or two different mutant genes. Only a snake with a gene pair made up a normal gene and a recessive mutant gene would look normal. The rest would not look normal. Most corn snake mutant genes are recessive to the corresponding normal gene. Tessera and buf and maybe one or two other corn snake mutants are not recessive mutant genes.
Codominant mutant genes produce morphs where we can infer what genes are present in a given gene pair. I don't know which (if any) corn snake mutant genes are codominant to the corresponding normal gene. There may be better information at www.cornsnakes.com.
By the way, the normal gene is the gene most commonly occurring in a given gene pair in the wild. A mutant gene is a gene that is NOT the gene most commonly occurring in a given gene pair in the wild.
Amelanistic (AKA amel) corn snakes have pink eyes and lack black pigment in the skin. IMO, that snake is an amel. I can't tell about the possible het anery. It's a pretty snake, though.
Good luck with those corns.