Why would you want to use RIR hens if you want to breed Barred Rocks? This makes ZERO sense whatsoever. You have a hatchery quality Barred Rock male there. There is no reason you can't pick up some hatchery female Barred Rocks for a couple bucks a pop.
In some places, many folks will call any barred bird a Dominique, or a "Dominecker," regardless as to whether it is or not. But the bird pictured has a single comb. Honestly, if it's not from SOP lines, there is extraordinarily little difference.
That link for breeding Barred Rocks is how they do it in England, not the US. We don't have sports and try to breed the males and females to have exactly the same width of bars here. If you're trying to breed the way that article says to, you'd need to use black birds anyway, not RIR.