He passed away on the way to the Vet's office :'( :'( :'( :'(
I'm really sorry about your pup.
You did what you could, though, you tried. He probably wasn't going to live, no matter what. It's just nature, I think. It sucks though, and it's really sad. Go love up on those other little pups. There's nothing like the smell of puppy breath to make you feel better.... 
The raw egg part I would skip though--Salmonella concern, and a newborn pup has a weak immune system.