Hooray for warm and wigglies!
When you said that yesterday's single baby was small, I thought it likely that she had more in there. Most does will have all of their babies within a few minutes of each other, but sometimes they spread them out - I hear Angoras are notorious for that. It's not considered desirable in a breeding animal, but as you said, that's not why she's with you.
The gene for the broken pattern (the spots that some of the babies have) is a dominant gene, meaning that if a rabbit has it, it will be expressed. However, there a few exceptions where it might be hard or impossible to see.
Broken puts color on the ears, color on the nose, color around the eyes, and some color on the body. The feet of a broken are usually white. A REW doesn't have any color anywhere, so it is possible for a REW to have the broken gene, and you can't see it. New Zealands do come in broken, so it's possible for a NZW to carry broken.
Rabbits with the Himi pattern can carry broken, but it can be hard to see on them, too. On a Himi, the ears, nose, feet, and tail are colored, but the rest of the rabbit is white. Because the ears and nose of a broken are usually colored, you might not see anything different there. Since the body of a himi is white, you wouldn't see any body spotting. Himis have colored feet, and brokens generally have white feet, so that can be a clue - I had a broken himi Mini Rex once that developed elbow spots during the winter, but had white legs and feet the rest of the time. That was pretty much the only thing that showed something other than the himi pattern.
Your Lionhead doesn't carry broken, but either the Altex or the NZW might be responsible for the spots on those babies.