Congratulations! Jersey Woolies are my first love; they will always be special to me!
Deciphering baby colors can be fun, when you know what you have and know what to look for.
"Otter" and "Marten" are Tan-patterned rabbits. They can have Self-patterned offspring, but no Agouti patterns - so far, so good.
Your doe is full color (Black), your buck a dilute (Smoke Pearl is the dilute version of Siamese Sable); they can have full color offspring, and if your doe is carrying a dilute gene, they can have dilute babies.
First off, I am betting that your "chocolate" isn't a chocolate, it's a Siamese Sable or Sable Marten. Chocolate combined with the Shaded gene would result in a bunch of unshowable "whoops!" colors; most people who know what they are doing wouldn't want to go there. Are there any Chocolate or Lilac rabbits on the pedigrees?
Tan patterned rabbits have the body color of a self-patterned rabbit, and the "trim" of the agouti pattern. They have light rings around the eyes, light/white on the insides of the ears, around the nostrils, under the jaw, between the toes, and on the belly and underside of the tail. There will be a triangle-shaped patch of lighter colored hair right behind the ears; on Otters, it is tan-colored, on Martens, it's white. Most of the broken Jersey Woolies I have seen have a lot of white on them, so some of the tan pattern markings may not be visible. Ear lacing would be your best bet - if the insides of the ears are noticeably lighter than the outsides, you are looking at tan or agouti patterning. The ears on the little broken in your pictures look pretty much the same shade of gray all over, so that one is probably self-patterned. If the ears on your little brown broken are like that, dark brown all over, it's a Siamese Sable, if they are lighter on the insides, darker on the outsides, it's a Sable Marten
The shaded gene is what gives you colors like Smoke Pearl, Siamese Sable, Sable Marten, and Sable Point. A shaded rabbit has more intense color on the "points" (ears, face, feet, and tail) and a lighter body color, much like a Siamese cat. The little broken in your pictures looks like the ear color is darker than the spot of color on its back; it looks shaded to me, so I'm calling it a Broken Smoke Pearl. The solid bunny in the other picture looks to be the same shade of grey all over, so I'm thinking most likely blue?
As for the white bunny . . . . Shaded is a weird gene. A rabbit that has two copies of shaded is called a Seal or a Blue Seal and is pretty intensely colored; it is almost as dark as the full-color black or blue. One copy of Shaded and one of something more recessive (like REW or Himi) is what gives you that Siamese-type pattern. So if your buck is a Smoke Pearl, you know he has one copy of Shaded, and one of either REW or Himi. If there is REW on the pedigree, that's probably what he has - one copy of Shaded, one copy of REW. Your doe is full-colored (black), but she could be carrying either REW or Himi - you know she has one or the other, since she has a white baby. Once again, if there is REW or Himi on the pedigree, that's going to be your best bet, but if the white baby develops dark points, it's a Himi, if not, it's a REW.