Some hens never go broody, some may once or twice but that's all. Breed is an indicator but not 100%, since broodies can pop up anywhere.
Your egg eating problem is a completely separate issue. Not sure what to suggest other than a roll away nest box, or to start over from scratch and NOT start any of the habits that may have led up to this problem.
Your egg eating problem is a completely separate issue. Not sure what to suggest other than a roll away nest box, or to start over from scratch and NOT start any of the habits that may have led up to this problem.