Dominant pied will ALWAYS be visible, because it is dominant over other mutations. So they can't be split (hiding a gene for it) if hey have the gene you will be able to see it. Recessive pied is overruled by other mutations, so they need to have TWO recessive genes, one from each parent, to show it. That is how you know that both your rids are split for recessive pied. (Your dad is still also dominant pied, they sound similar but are different genes so a bird can have both.)
Your recessive pied will not get light rings in his eyes, or a blue cere. He will always look like a baby (which is one reason I love them.)
Hope this helps a bit.