Girish Karnad was an actor, director, and playwright.
So statement B is correct.
Tughlaq is a historical play.
It is based on the life and reign of Sultan Muhammad bin Tughlaq.
Therefore, statements C and D are correct.
Statement A is incorrect because Tughlaq is not mainly known as a comic play.
It is a historical and political play.
Statement E is not accepted as correct in the given set of options.
Thus, the correct statements are:
\[
B,\ C,\ D.
\]
Hence, the correct answer is option (D).