1/ The player thrown the ball kicked it
MEANS
The player at whom the ball was thrown kicked the ball.
2/ The player kicked the ball kicked it
MAKES NO SENSE IN THIS CONTEXT because
The player kicked the ball is a full sentence and does not accept any modifications (is not ditransitive in this context)
in 1/ the player is the direct object (the action of thworing was directed at him) and the ball is the indirect object (the object thrown)
in 2/ the player is the subject of the sentence and the ball is the direct object object (the object undergoing the action of kicking)