A.
The play reveals that one's social identity, though embedded in the environment where he/she grows, can be changed by external modifications.
B.
The play is named after the Greek mythological figure Pygmalion. He fell in love with one of his sculptures, which then came to life.
C.
Although Higgins thought that Eliza was a masterpiece of his, she - except in the words of the Duchess - did not belong to him spiritually and physically.
D.
The real re-making of Eliza Doolittle happens after the ambassador's party, when she decides to make a statement for her own dignity against Higgins' insensitive treatment.