Which of the following statements are correct?
A. If one interior angle of a parallelogram is a right angle, then the parallelogram must be a rectangle.
B. If two diagonals of a rectangle are perpendicular, then the rectangle must be a square.
C. If two diagonals of a rhombus are equal, then the rhombus must be a square.
D. If one interior angle of a rhombus is a right angle, then the rhombus must be a square.
E. If two diagonals of a parallelogram are equal, then the parallelogram must be a rectangle.