In my opinion, papers are a bare minimum. If you can't register the dog, then don't breed him. What dispute with the AKC? The AKC, will revoke a litter's registration in some cases. If you read the review they would say what happened on their discipline and oversite committee. It sounds complicated though. Someone would have to send in DNA I think and the sire would have had to have been DNA'd, and I don't know if there is an appeal process in that. If that was the case, then your pedigree might not be correct.
Another dispute might be that your dog's dam's breeder did not follow through with her agreement to the stud owner. The stud owner might have refused to register for lack of payment. If that is the case then the dam's owner was dishonest and sold dogs that she could not register and those dogs simply should not be bred. The owner of the stud deserves compensation, and, maybe they really are not the owner of the stud used. Who knows? Pedigree is in question.
See here's the thing, if you rescue or buy a puppy without papers, it is a pet. It is probably the result of someone breeding who shouldn't have been breeding. If you breed that dog, then you are breeding when you shouldn't be, and the only owners for the puppies you produce will be those who really do not mind if people have been dishonest or disreputable along the way.
Jenna, RN CGC & Babs, CD RA CGC HIC
Heidi, RA CGC
SG3 Odessa, SchH1, Kkl1, AD
Ninja, RN CGC & Milla, RN CGC
Joy, Star Puppy, RN CGC
Dolly CGC & Bear CGC