Welcome, Once you have your puppy treated, your rash will clear up, too....
You CANNOT rid yourself of it until your dog is taken care of....Don't try to do this on your own...Chemicals are very dangerous for puppies.....Looks like it's time for a trip to your Vet for treatment to begin...
I've had many, many dogs treated for various Mites with 100% success......Call your Vet and make an appointment for your puppy and get it on a road to good health....Karla
Please take puppyto see vet. This could be sarcoptic mange, which is contagious to humans... until you see the vet and your own doctor, keep the puppy and yourselves in 'hands off' mode (do not accept handshakes, or puppy petting) with other people. This is just precautionary, as you would not want to spread this around. Blessings - Blu