No.
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No, all angles are right angles
No a right angled triangle consists of two acute angles and one right angle
No, not necessarily. A parallelogram can have all sides equal, but still not be a square.
A square or rectangle has all right angles. More complex shapes can also have all right angles, notably forms such as the outline "cross" (e.g. Red Cross), which is an irregular dodecagon having twelve sides. The Greek cross is equilateral, the Latin cross is not.
A quadrilateral with all right angles is a rectangle.