Step 1: Three methods are usually taught for land levelling design: plan inspection, profile, and contour adjustment; a fourth, the plane method, is also used.
Step 2: Statements (A), (B) and (C) restate the standard textbook description of these three methods word for word, in terms of when each is used and how each is carried out, so they are true.
Step 3: Statement (D) attaches the contour adjustment method to flat lands, but this method is actually chosen when the field has an uneven, undulating surface, so (D) does not fit and is false.
Step 4: Statement (E) calls the plane method rarely used, yet fitting a single plane grade to survey data is one of the standard, frequently applied approaches, so (E) is also false.
\[\boxed{\text{Answer: (A), (B) and (C) only}}\]