Yes, black people can get scabies. But your husband and children would certainly have gotten it long since if you've had it since October. Since they apparently haven't, that means you don't either. You've seen a doctor, who told you you have eczema, not scabies. What will it take to convince you?
Please get the treatment you need for what you have, and the help you need to stop worrying over what you don't.
Best.
Dr. Rockoff