Neons no. Too small too peaceful. Red eyes are a bit stronger, bigger, fast. If the convicts breed or you have a pair any fish in the tank will get picked on by them. If you have one it would be fine or 2 same sex.
I once had convicts and tiger barbs (and the green and albino versions). They are stunning and active little barbs but so agressive so convicts were the perfect tank mates able to defend themselves.