William Golding's Lord of the Flies was published in \(1954\), not in \(1645\).
So statement A is incorrect.
William Golding was awarded the Nobel Prize in Literature in \(1983\).
So statement B is correct.
Robinson Crusoe was written by Daniel Defoe.
Brave New World was written by Aldous Huxley.
So statement C is incorrect.
Lord of the Flies is often described as a dystopian novel because it presents a dark view of human nature and civilization.
So statement D is correct.
Nineteen Eighty-Four was written by George Orwell, not William Golding.
So statement E is incorrect.
Therefore, the correct statements are:
\[
B\ \text{and}\ D\ \text{only}.
\]