Hi there mightyflytacos. From your description I would say DID isn't outside the realm of possibilities. It sounds like you definitely have some dissociation going on that is associated with amnesia and possible alternate identity states. Traumatic events in very early childhood are not part of the diagnostic criteria although typically there is some form trauma in that time period. It doesn't have to be severe abuse though, it could also be attachment trauma.
What does your therapist think?