Starting a dribble/traveling questions

[Dave9819]

1. It is legal for a player to start a dribble by using both hands to push or bat the ball to the floor, and then continuing the dribble, correct?

For example, A1 catches a pass, pushes the ball to the floor with both hands, and then continues to dribble using just one hand.



2. B1 has recovered the ball with one knee on the floor. Without dribbling, is it legal for B1 to place a 2nd knee to the floor? What if B1 recovers the ball with both knees on the floor, and without dribbling, picks up one knee off of the floor?