Certain quadrilaterals have right angles. Right trapezoids are the most general example. Rectangles are specialized right trapezoids, and squares are specialized rectangles. There may be more but I can't recall them.
Many rhombuses and parallelograms have no right angles. However, they might (and then you'd probably call them squares or rectangles but they are also technically rhombuses, parallelograms and trapezoids).
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The two quadrilaterals that have four right angles are rectangles and squares.
No, one example is a kite that DOES NOT have two right angles. It is not a cyclic quadrilateral. A kite that does have two right angles is one.
"Quadrilateral" simply means "four sided". Some quadrilaterals do have right angles; squares or rectangles, for example. Some have one or two right angles, but some don't have any right (90 degree) angles.
No, only squares and rectangles have 4 right angles.
A rectangle or a square are sets of quadrilaterals with two pairs of right angles. They each have two pairs of right angles and two sets of equal sides.