If you have a few minutes, you should watch this. Backyard eggs are not ethical either.
TL:DR; 1) loss of nutrients and problems for the hen when they lay unnatural amount of eggs. 2) lot of issues to these hens such as loss of calcium, yolk and other items stuck inside and causing infection 3) killing these hens when they stop laying eggs (and therefore the implication that their life was only to serve you and treat them as a resource.)
That said, since there are so many vegans out there that don’t have any medical problems, do you think the health problems you face when not eating dairy and eggs are because you are not eating certain food groups? Perhaps a health exam will find out if you have some nutritional deficiencies?