All breeds can mate and reproduce, bantams and large fowl can reproduce. Your Aracanas are not Araucanas, most likely), they are Easter Eggers which are crossbreeds, the Cinammon Queens are also a terminal hybrid cross breed production layer which will not breed true. The Rock and R.I.Red would be a good cross for general farm type fowl, using the Easter Eggers will give more Easter Eggers of varying description.

So if I were to breed the cinnamon queens...what would happen?

some kind of chicks?? it would be hard to predict results unless the original cross to make the hybrids was known. Red sex links result from a silver to gold cross, such as - White wyandotte to a Rhode Island Red.
black sex links are a result of black to barred like a Australorp to a Barred rock.
The chicks, if you hatch some will be decent layers but not as good as the original hens. special high production lines are blended to make the terminal crosses for production.