"Am I correct? If yes, then is it also correct that this conditional statement is FALSE?"
as has been said, yes

but what is the conditional statement that you are saying is false?
Is this homework, or are you cheating on a test :) Let's assume you are gaining better understanding of rewriting postulates in the ifthen form.
So your postulate is a correctly stated postulate (Postulate 1 if you are into numbers)
Your ifthen conclusion is logically correct and supported by the postulate.
You have not created a conditional statement that has the possibility of being FALSE given Postulate 1. But perhaps you are wanting to understand the Inverse statement, which would be
If it is not a line, then it does not contain at least two points.
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That is a proper conditional statement. It is also true.
But it is not particularly descriptive.
virtually all geometric elements (lines, segments, rays, circles, triangles, planes, spheres,.....)
contain two or more points.
The only entities that don't are points.