Yes I really am a medical doctor, you can easily check. Biological sex in humans is not a strict binary, nor are gender or sexuality, and yes humans have identities, if you think you don't then your problem is a lack of introspection and self awareness.

This statement brought to you by gl!nner

If you want to know more about what identity is here is a start:

https://en.m.wikipedia.org/wiki/Identity_(social_science)