"Dual Gender Identities" would fall into the category of "Multiple Personality Disorder".
That is an issue I raised & talked through with my wife's therapist. In my case it appears that the apparent duality of my personalities is most likely due to my extreme repression of my desire to be female from the age of 5. I submerged myself so well, that the abuse I received from 8-12 was relatively easy to deal with later on. While I am now feeling more whole, it is taking me a quite while to allow those parts of myself I had submerged to rise to the surface and become reintegrated into the person whom I have now become. Progress is slow and I do have a long way to go. Seeing the progress I have been making gives me hope that there will be a time when my past no longer haunts me, or at least not nearly as thoroughly as it has been.
When we fail to receive sufficient nurturing from our parents, we tend to seek for that connection elsewhere. I reached out in emotionally unhealthy ways to others and was unable to comprehend why they recoiled from me when I rushed a high degree of emotional &/or physical intimacy. It took me much work over many years to become capable of being emotionally responsible in my relationships with others. I did most of this work with my NA sponsors (one in particular), and I have had a couple of excelent therapists over the years.
I realise I have not addressed your questions specifically. It seems to me that these are questions that can only be addressed by a well-grounded therapist who has a good understanding of your history and your present circumstances. Consider what I have said about how a lack of parental nurturing can lead to poor emotional growth, which in turn can cause a person to respond inappropriately in social situations (eg: me, for far too many years). Then discuss your questions with your therapist.
Good luck. Your journey is just starting and looks like it will be interesting. Be well.
Tessa