Illegal Dribble?

[BigT]

A1 steals a pass and is heading toward half court. B1 cuts him off and suprises A1. A1 realizing he is running out of Real Estate leaves the ball and involuntarily goes out of bounds. A) He establishes inbound status and picks up the ball b) continues the dribble c) Starts a new dribble.

Looking at 9-5

SECTION 5 ILLEGAL DRIBBLE
A player shall not dribble a second time after his/her first dribble has ended,
unless it is after he/she has lost control because of:
ART. 1 . . . A try for field goal.
ART. 2 . . . A touch by an opponent.
ART. 3 . . . A pass or fumble which has then touched, or been touched by,
another player.
PENALTY: (Section 5) The ball is dead when the violation occurs and is
awarded to the opponents for a throw-in from the designated out-of-bounds
spot nearest the violation.

And the case book example..

4.15.4 SITUATION D: While dribbling: (a) A1 bats the ball over the head of an
opponent, runs around the opponent, bats the ball to the floor and continues to
dribble; (b) the ball bounces away but A1 is able to get to it and continues to dribble;
(c) the ball hits A1’s foot and bounces away but A1 is able to overtake and
pick it up; or (d) A1 fumbles the ball in ending the dribble so that A1 must run to
recover it. RULING: Violation in (a), because the ball was touched twice by A1’s hand(s) during a dribble, before it touched the floor. In (b), even though the dribble
was interrupted it has not ended and A1 may continue the dribble. In (c), the
dribble ended when A1 caught the ball; and it ended in (d) when it was fumbled.
Even though the dribble has ended in (c) and (d), A1 may recover the ball but may
not dribble again. (9-5)


Which ones are violations and which ones are not.

Thanks in advance...