You don't have to reveal your past name, but it may be practical to do so. Most importantly, the time ahead of you is going to be seriously mentally and emotionally draining. Degree attained under the name first, last, which was later changed". Summary The goal is to streamline expectations and to give as consistent a picture of who you are now as possible. Then you can inform you potential employer when they ask for the references that you are known to them under a different name and why.
For the other, do it as above.
Quick questions will resume in the fall. You are at: This also involves the "my old references might not know who I am" problem
I want the question "Are you Jane?