The egg shells can be contaminated with bacteria and parasites. The enteric bacteria on the shell can cause some of the intestinal problems you describe. Hulda Clark advised using her bowel program and it may be possible to see a great improvement by using Turmeric and the other supplements she recommended. For more suggestions see the CZ Liver Flush Support Forum . It would help to do several parasite killing programs.
It would be a good idea to have a complete panel for Celiac Disease/Gluten sensitivity. Intestinal problems and Hair loss can be a problem in people sensitive to gluten but I have also read that a high level of some metals can cause this. I have hair loss when I eat commercially prepared foods which have small amounts of pollutants.