The only sexlinking will be from the rhodebars. Barring is sex linked so that cross will produce barred boys and non barred girls.
If the leghorns aren't some kind of cross like California White, all of the chicks from them will be white.. no way to sex link.
With the RIR, the chicks could either come out all black(if roo is pure for black) or half black, half red. No sex linkage either.
Sex linkage is done by having certain sex linked genes in the hen and none in the rooster. This cross will give cockerels with the sex link trait and pullets lacking it. The most common traits used are barring, silver, sex linked slow feathering gene....
The hatcheries use specially bred lines pure for one or more sex linked traits as the mothers for the sex linked chicks, so if you hear something like RIR x white RIR/Rock, the white line really is this kind of line, not the typical white hen from a backyard or even from the hatchery sold as purebred white rock.
edited to add: neck feather picking is very common. Pin feathers are extremely delicious to all chickens.. they are far too exposed on their necks.. too much temptation for the other chickens...
As the hatchery stock NN seem to be leaning towards layer type, I would say the crosses probably would be good layers- don't know about excellent(maybe a few but not all).
as for meat there is a struggle between good laying and good meat. kind of have to choose one over the other or settle for something like good meat but needing to keep a few more hens/pullets for egg supply. A big meaty chicken that lays 300 eggs is the holy grail but realistically it's very hard,
