Hens have slowed down laying after I introduced new chickens.
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When hens are moved to a new environment, there is usually a cessation in egg production. The eggs received the first couple of days are those that were already in the reproductive tract. They will resume laying - your pen appears to be on the small side for 12 birds.
I seriously doubt that the cockerel is the problem. The stressors are new environment, new flockmates, not enough space, and possibly a change in type of feed.
I'd say you'll get lots of eggs from the RIRs, but not the golden comets. At two years old, they are past their laying prime. I had a production hen, a red sex-linked, she laid well for a year but stopped altogether after the second year.
That's what I was afraid of. I should've done a little more research on the Golden comets. Oh wellsometimes you learn the hard way.