I'mma try to answer. Please note, I do not have any Spider stuff, so take this with a grain of salt.
First, Dad is a Lesser/Butter. Mom actually looks to be a browned-out Pewter Bee. At least, that's how she looks from here.
Second, totally agree with your IDs of babies 1-5
Baby 6: Could be a Queen Bee or a Pewter Bee. I don't think it's a Queen Bee Cinnamon, but, like I said, I don't work with Spider. A post-shed pic in better lighting (natural, indirect sunlight, like through a window with a white curtain or similar).
Baby 7: Bumble Bee
Striping may or may not mean anything. It could be polygenic, could be an incubation effect. Or both.
The difference between Babies 6 and 7 is that 7 is only Spider and Pastel, while 6 is Spider, Pastel, and a third gene. This third gene is paling the color more than just Pastel.
Hopefully that was at all helpful
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