To register your dog, you're going to need registration papers for that specific litter. The parents AKC papers really aren't going to be much help to you in terms of actually registering the dogs. They do give you names though, but you need litter registration papers (provided by the breeder) to register your pup.
Regarding the lines. It's hard to know for sure without actually seeing the pedigree and dogs further back then these dogs, but "Seika von Arminius" is most likely west german show lines as that's what the "vom arminius" kennel breeds. For the other three, not really sure. There's nothing online when searching google or pedigree database, so I'd *assume* they're american pet lines. Really not sure though without seeing an actual pedigree.