I can identify with you - having the same problem years ago writing up my MSc. I think you may have gone into overwhelm with the list of activities and pressures outlined in your post. I also now write articles and books and find it relatively easy - by just doing it. Just start and write - it does not matter if it makes sense, is properly cited and referenced - just write a first draft. Even if you don't like what you write - just write. Even if it does not make sense. Write don't evaluate what you write - just get into the process of writing.
I think the problem is typical of any problem which is so big - it is reflected in the mataphor in answering the question "how do you eat an elephant?" The answeris - in small chunks.
Now, my daughter is writing her MSc thesis and she is following the same advice about write, write , write - don't evaluate. When she was completing her undergrdauate dissertation she used to come to me and say "look this is not good". My response was it does not need to be good at first - just get the ideas down - bad grammar and punctuation included.
On a fnal note when I need a paraliminal to focus myself on doing things I just listen twice to "get around to it" - and then when I arise in the morning it is like a guided missile is tied to my butt - its works for me in every circumstance. Not kidding. Good luck Doctor.