Yes
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Yes
See the link for a list of breeds recognized by the American Kennel Club.
There are over 150 breeds registered with the American Kennel Club, and that doesn't include every breed in the world, which includes mutts and dogs that aren't yet registered!
There is likely no difference for most breeds. AKC = American Kennel Club (founded in 1884) currently a nonprofit organization. UKC = United Kennel Club (founded 1898) currently privately owned by Wayne R. Cavanagh.
The American Kennel Club Currently recognizes 176 different breeds of dogs.
AKC stands for the American Kennel Club. They decide which dog breeds are official and which ones are not.
search the American kennel club for starters
Piebald is not a cross breed. Two dachshunds bred together need to have the piebald gene in their background. Piebald is recessive and will not show up but you could see a relative that was a piebald in the pedigree. Two piebalds bred together will produce all piebald puppies.