Worms.

I will have had my 4 ex battery hens for a month on the 22nd April. Whilst poo picking on Saturday I noticed what I thought might be a worm. I have found pictures today of what looks very similar saying it is a worm.
The chickens have been having Diatom mixed with their feed for nearly 2 weeks now and I wonder if this is what has killed the worm for it to be passed.
I ordered Flubenvet yesterday and they will be put on a course of it immediately, my question is do the eggs they are producing now pose a threat to humans consuming them?
Also I am putting their waste on the garden; I am assuming this definitely puts my dogs at greater risk than usual.
Any feedback appreciated as these are my first chickens.
Thanks,
Pat.

Thanks for the feedback. Good News.
With regard to the garden the poo is being put in a section ready for use next year, so it should have broken down well by then.

Cheers.