A rhombus is a quadrilateral with all four sides of equal length. (That it is a parallelogram, with equal opposite angles etc follow from these properties.) A square satisfies all these requirements and is, therefore, a rhombus.
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All rhombuses are NOT squares.
sometimes
A rectangle is not a rhombus.
Yes. A Parallelogram is a quadrilateral that has two pairs of parallel sides which are opposite each other and of equal length, though the pairs may be of different length to each other. If the angles are all 90° then the parallelogram is also a rectangle. If the angles are all 90° AND all sides are equal then the parallelogram is also a square. All squares are rectangles, but not all rectangles are squares; Similarly all squares are rhombuses but not all rhombuses are squares And all rhombuses, and thus squares, are parallelograms, but not all parallelograms are rhombuses (nor squares).
No, only the ones with four right angles