A regular polyhedron has equal size faces as in the case of a tetrahedron which is a triangular base pyramid that has 4 equilateral triangle faces.
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The sides of a rectangle are not all equal so a rectangle is not a regular polygon. And, as a consequence, any 3-dimensional shape made from rectangles cannot be a regular polyhedron.
No.
No, it is not.
Not necessarily. If all faces are equilateral triangles (all edges are equal length) then it is a regular polyhedron.
The answer depends on the size of the polyhedron, whether or not it is convex and if so, whether or not it is regular.