You don't need to do anything about the eggs.

what you need to do is:
- do a fecal test, if positive, treat accordingly
- food - is s/he eating from tongs or hands? If not you need to try to teach him how to. Meanwhile stay away from crickets, try something softer, like hornworms. How he is pooping? How the poop looks like?

that is pretty advanced prolapse and if this is reoccurring and after threading for parasites ( most likely the test is going to be positive) you will need to find a vet comfortable fixing this surgically.