If both of your rabbits look like the one in your first pic, they have black points. The "black" pigment (eumelanin) is normally a really intense dark brown color, and genes that thin it down (think Siamese Sable) kinda help you to see that it is actually brown, rather than inky black. The chocolate gene changes the shape of the eumelanin granules, so they refract/reflect light differently, so the color is much lighter - about the same shade as a milk chocolate candy bar. "Black" often fades, especially in rabbits that are exposed to direct sunlight, but Chocolate never looks darker than, well, chocolate.
On the matter of temperament - it's been in effect for a long time now, but I can still remember when the ARBA created a rule that allows judges to put a rabbit out of a class for being vicious. Having watched judges trying to pose rabbits that would rather bite than sit, I totally supported the move; their job is hard enough without having to dodge razor-sharp teeth while trying to do it. Plus, I know that a certain amount of temperament is inheritable, and even show rabbits create a lot of "pet quality" babies. If a rabbit will get DQ'd because it's mean, there's no point in showing it, so there's little reward for keeping cranky rabbits in a show herd (no matter how gorgeous they may be). I have a lovely little scar on my wrist from the bite of a truly vicious Netherland Dwarf that I owned almost 20 years ago to remind me just how nasty a rabbit can be (as if I needed that), and I don't ever want to be responsible for something like that happening to a child. So, temperament is something I select for. I will allow a rabbit to be stand-offish, but any rabbit that thinks it can kick me out of its cage had better get over it, or it will have voted itself out of the gene pool. I will allow a doe to be protective of her litter - that's just good mothering instincts, IMO - but she needs to be at least tractable the rest of the time. Yes, I have had to teach a few rabbits about nursing their litters, but on the other hand, I can also relocate does within hours of them kindling, and still have them do exactly what they should. I'd prefer to believe that decreasing unsociable behavior in domestic rabbits doesn't mean losing some other, more useful instincts (like mothering ability), though I can see how that might be true, at least some of the time.