No. For any three points it is always possible to find a plane on which they all lie. A fourth point is most unlikely to be coplanar with the first three unless it is deliberately placed to be so.
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all of them are collinear they lie in the same plane
lie on the same plane and are collinear
No but they are always coplanar.
Yes. Any two points are always coplanar.
No. For example, consider the vertices of a tetrahedron (triangle-based pyramid).