How long of time between her D with first H and when the two of you started dating?
Has she ever said how many relationships she's had?
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4) I almost called her bf to ask if she thought what would be the best course of action - being more open or space? Space feels like that's at the expense of coming off the way our relationship went.
NEVER, EVER talk to her friend (or relative) about the relationship, and especially ask what course of action to take. It makes no difference how much the best friend says they want to see you together. You don't show your cards.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!