They may hang out together, but they're different species that both need a full school (6+) of their own species to be comfortable. I'd recommend returning the neons and then getting a full school of cardinals, if you can!would neons school with cardinals or would it be different
Oh, also, flake may not be what they are used to eating. Try the small sinking cichlid pellets, and frozen bloodworms a few times a week (instead of pellets those days).
do you think that they'll eat my cory sinking pellets(omega one shrimp pellets) and their own or will they not notice?
What kind of corys do you have? I agree that neons are not temp compatible with blue rams. What temp do you keep your tank at? They may also just be getting used to the tank.
Do the petshops even sell heaters in Hawaii? Lol.
Rams should be ok in those temps, though I think to breed it needs to be a touch warmer (that is, if you plan to breed anyway).