Foul odor.. black poop..light brown insects on body small black specs around vent

[shellirae]

I have a two year-old hen that I noticed pooping black poop and noticed her vent a little dirty but not pasty butt more like black specs of dirt feathers around her vent are gone gave her a bath and noticed a foul smell coming from her while I was bathing her I saw light brown things on her feathers she is eating and drinking and has not had any change in her behavior or Energy. These eggs don’t look right ! Never had an egg look like this !! weird. Are these normal? Are they edible ?

 

[MarlaMac]

Are these two issues related?

Need pictures of the "brown specs", her poop and her vent area. Do the specs move?

As for the eggs...is the one you cracked open the small odd shaped one in the carton?

How long has the hen been laying? The material looks like normal egg whites. Is the shell normal or soft. Sometimes newly laying hens "misfire" before their system normalizes to laying eggs.

What is her diet?