Q 1 : I agree with the statement because a square may be a rhombus because, it has four equal sides, two pairs of parallel lines while a rhombus may not be a square because a square has 4 perpendicular corners which a rhombus does not have.
Q 2 : Options A, B, C and D are all correct. A is correct (as you can see in the picture)
Q 3 : The figure is a trapezium. The two sides that are equal are the sides that are not parallel to each other, the sides that are parallel to each other is the sides that are not of equal length and in this way, the opposite angles will sum up to 180.
Q4 : Not all parallelograms are squares. Evidence : this definitely does not have four equal sides
Q5 : BFDE is a parallelogram because line BC and AD are equal, so when you draw a new line from B to E and D to F, those two are same in length and is parallel