Do you mean the area where he sleeps? I think changing it regularily would probably help. What do you mean by bad health? I'll try and get someone who knows more to help @sarthur2
These are issues the vet must help you with. Inflammation may need an antibiotic. The eye infection needs an antibiotic eye ointment. Fleas need a tube of Advantage flea medicine.
You will need to take this one-month-old kitten to a good vet for treatment.
Is the kitten eating well? What are you feeding the kitten?
Can you post a picture?
What a pretty kitten! I hope it gets better soon!
Try to give it more wet food as well as kitten chow. It needs lots of food to grow on and be healthy.