Huh? If 'Prime Carol' was never in Starfleet, it's unlikely 'Prime Kirk' would have met her when he did to make David Marcus. .
It's impossible to say. I'm sure not every "blonde lab technician" in San Francisco belongs to Starfleet. For all we know, he met her in a bar or on Shore Leave or through mutual friends. Cadets and civilians have been known to mingle.
Heck, it's not as though Captain Kirk never romanced a woman who wasn't in Starfleet.

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