I don't think it has to be work experience related to international education - at least it doesn't need to be extensive. A HGSE IEP graduate told me that one of his classmates did a World Teach program on a small island, then went on to sell insurance right before going to HGSE. So I believe they are really looking for diversity in candidates! I'm sure you will do fine!
Yes my friend would definitely have gone to Harvard. Harvard is a big name, especially in China, and it really opens a lot of doors. It would be a huge advantage for her if she ever goes back to China to work.
I am very interested in the book list and would be very grateful if you could send it to me! Thanks a lot!