Yes. In fact the CKC only requires you to send in a picture of your dog at 6 months or older and have two witnesses sign a paper stating that the dog is purebred. The dog must look purebred in the picture of course, but you can register it.
You can't, because w/o knowing their history you don't know that they are pure breeds. Without a documented family tree they won't be considered pure breeds regardless of how "right" they look.
When a horse is registered, you have the freedom to enter in high-level breed competitions, like at national level and such. Stallions can be entered in a stud book for their breed. Their offspring can be registered only if both parents were registered and of the same breed. It makes a horse easier to sell. There are many reasons why you should register a horse, and there really aren't any bad things about it. It's good to do it anyways.
The history of the padfoot is described on the related link.
I could be wrong but it seems there is not a breed of goats without horns. Being without horns is refered to as "polled" and is considered a genetic defect. It can appear in any breed. Yes, there is no breed without horns. Polled is a recessive gene and 2 polled animals should only be used for breeding if the owner is ready to accept a possibly heartbreaking mutation. It is called hermaphrodism. Rare, but possible.
It's a part of the breed. A longhorn wouldn't be a longhorn without the horns.
It all depends on the breed (or cross breed) and the benchmark weaning weight for other calves of that breed or cross. Without any more info I can't give you a more precise answer.
that can't be answered without knowing what kind of pet it is.
No, it is a breed, but you can register as a Pinto because it is a colour unless that welsh is a pure breed paint.
So long as they are from the same breed and both parents are registered, yes you can breed a trotter to a pacer and register it.
No though you can register your rabbits if they meet certain requirements
You have to go through a process
yes
Don't do it, you idiot.
When you register for the game you will have the option of choosing which breed and type of horse or pony you would like.
If you want to show it.
If they match the Limousin Association's (depending which country you are living in) breed standards and you are wanting to breed Limousins, then yes.
No, you cannot register any litter of puppies unless both parents are the same breed and are both registered themselves.
The breed history of the Singapura does not go far back in history they have only been seen since 1991. This is a well known cat now.