Hi Atlantia,
Interesting, and thanks for the sketches. Oddly enough, that "iris" looks more like the fruits of a larkspur (see first image) or even wolfsbane fruits (see second image) than an iris.
As for the sunflower, I'll repeat my first position: it's a relative of a sunflower, but I'm not convinced it's a sunflower. The reason I'm not convinced is two-fold: first, sunflowers tend to have more than eight petals (they're technically ray flowers), and second, they tend to have petals of a single color, where the petals on the rapier flower have a band halfway up. That band is characteristic of many other species of sunflower relatives, so I tend to think it's not a sunflower.
One thing I think we can ignore is the leaves under the flowers or fruits. Since they're the same for both flowers (unlike in nature), I think they're just a standardized leaf shape, without other meaning.
Best,
F
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