Statement I: A charged particle is free to move in an electric field. It does not move along an electric line of force.Statement II: Charged particle's initial position decides that it will move along the line of force or not.

The charged particle may or may not move along an electric line of force. If the charged particle was initially at rest, it will move along an electric line of force. In case the charged particle has some initial velocity making certain angle with a line of force, then its resultant path will not be along the line offorce.