He looks like a sweetie! His color is actually called black otter, with that beautiful tan trim around his ears, nose, jaws and underside, and creamy belly color. Personally I think it's one of the prettiest varieties of all.
Typically he'd be called a mixed breed or a crossbreed. You know for sure that he isn't a purebred anything since you had his parents and know they weren't the same breed.
Rex fur comes from a recessive coat type mutation. Since it is recessive, it's possible that a rex-furred rabbit can be produced by two rabbits that don't have rex coats themselves. If both of his parents carried a hidden allele for rex (an allele is a particular form of a gene), some of their kits could end up with that rex coat. But it takes more than a rex coat for a rabbit to be a Rex, since there are other features (size, shape) that make up a specific breed. You can find that rex coat type in several other breeds, including Mini Rex (3 to 4-1/2 lbs with tiny ears of under 3-1/2 inches long), Mini Plush Lops and Velveteen Lops. Rex generally weigh 7-1/2 to 10/1/2lbs and have good long ears relative to their body size.
From the photos I can't really tell if his coat is rexed or not; in some shots it looks like it might be, in others it looks like a normal commercial coat. Rex fur is shorter - between 1/2" and 7/8" - than normal fur, and is not just soft but is plush like velvet. Since I'm not able to put my hands on the rabbit, you'd be the one to verify this. Sometimes rex crossbreeds have many longer guardhairs in their otherwise rexed fur, which isn't ideal but it does happen. That might be what I'm seeing in photo #3.
To be considered a Rex (or a New Zealand, or a Flemish Giant), most people would like to see that the rabbit has parents of the same breed for at least several generations. According to the ARBA (American Rabbit Breeders Association) that would be at least three generations, proven by a pedigree showing that information. For most folks' purposes, though, having a rabbit that looks like the breed standard, and produces bunnies that also look like the breed standard, is close enough.
A breed standard is a description of what the ideal rabbit of that breed looks like. In America and Canada, that description is given by the ARBA in a publication called the Standard of Perfection aka SOP. In fact if you're new to rabbit breeding, you might enjoy a memebrship in the ARBA. It's a national organization that aims to support rabbit breeders/owners/fanciers in
all areas of rabbit ownership. That includes showing, meat breeding, fiber production, pet breeding and/or pet ownership. When you join you will get a nice book "Official Guide Book: Raising Better Rabbits & Cavies" plus a truly excellent and beautiful color bi-monthly magazine with articles on just about every topic you can think of relating to rabbits, from breeds to breeding to health issues to recipes. You can see details here:
Join the ARBA