Statement A is incorrect because Robinson Crusoe was written by Daniel Defoe, not Jonathan Swift.
Statement B is correct because Swift's The Battle of the Books is a satire connected with the controversy between the Ancients and the Moderns.
Statement C is not the best correct statement here because A Tale of a Tub is mainly a satire on religious divisions and the churches of Swift's time.
Statement D is correct because Gulliver's Travels reflects Swift's bitter satire on human nature, society, politics, and institutions.
Statement E is correct because A Tale of a Tub satirizes the religious conflicts and churches of the day.
Thus, the correct statements are:
\[
B,\ D,\ E.
\]