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I think all three of those names can stand as full names. It wouldn't bother me at all to use them as such. Annie and Jessie I like a lot, but Carrie is personally nms.
I think the following combos would work well:

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Annie Rose / Annie Mae / Annie Jemima / Annie Louisa / Annie Elizabeth / Annie Charlotte / Annie Evelyn / Annie Sabrina / Annie Violet / Annie Guinevere / Annie Michaela / Annie Katherine

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Jessie Emmeline / Jessie Ruth / Jessie Tabitha / Jessie Annabelle / Jessie Freya / Jessie Lila / Jessie Ava / Jessie Clara / Jessie Veronica / Jessie Belle / Jessie Natalia / Jessie Matilda

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Carrie Vanessa / Carrie Tabitha / Carrie Maya / Carrie Jane / Carrie Isabelle / Carrie Abigail / Carrie Lillian / Carrie Samantha / Carrie Hazel / Carrie Alexandra / Carrie Faye / Carrie Joy

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If I was going to use the names as nn's for longer names, then I'd probably go with Annabelle, Jessica and Caroline.