You're speaking to Dr. Michael Salkin. Welcome to JustAnswer. I'm currently typing up my reply.
I'm sorry to hear of this with Prince, Andrea. Dragging of the legs and scraping the top of those paws are indications of a lack of conscious proprioception - knowing where one's legs are in space. This usually indicates a myelopathy - spinal cord disorder. Prince's vet can test Prince's conscious proprioception as well as nociception (deep pain perception) in his hind legs. X-rays of Prince's spine and hips should be considered as well. We're looking for evidence of degenerative disk disease (a "slipped disk") and osteoarthritic changes in his hips and caudal (toward the tail) spinal segment called the cauda equina syndrome. Painful hips (hip dysplasia) can mimic the signs of a myelopathy but a careful exam and X-rays should be able to differentiate one from the other.
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