definitely a pentagon can.. It can be any shapes that have more than 4 sides except that they can't be regular shapes.
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A square always has, and any polygon with more than four sides can have.
Not possible - a flat shape with a minimum of four sides must have at least two angles of 90 degrees or larger.. Unless you're allowing 3-D shapes, in which case, a triangular-based pyramid would have four sides, but the angles at the corners would all be less than a right-angle.
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.
the sides and the angles are the same
a diamond does. There are two obtuse angles in it.