1, exactly 1 plane will
Any Euclidean plane has infinitely many points.
1 line cause every plane contains atleast 3 or more noncollinear points
3 non-collinear points define one plane.
Only one plane can pass through 3 non-collinear points.
Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
If you are talking about straight lines, the answer is NONE, because that is what noncollinear means. If curves are allowed, then the answer is infinitely many.