Shapes having less than 4 sides or more than 4 sides are not parallelograms
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No but they are all quadrilaterals
No trapezoids are parallelograms, and no parallelograms are trapezoids.
You could use two isosceles triangles, or two parallelograms with one pair of sides half as long as the other, suitable trapeziums (trapezia?). There are also lots of irregular shapes.
It is NOT as case of 'Some'. It is ALL rectangles are parallelograms.
Parallelograms are squares is sometimes true. Squares are parallelograms is always true. Rhomboids are parallelograms is also always true. So not all parallelograms are squares but some are.