TRAVELING?

[michaelj23]

Player has control of ball (with dribble still available) and places the ball on the floor, then:
A) taps ball with one hand, steps (more than two) & retrieves ball (with two hands) then begins dribble
B) picks up ball & begins to dribble

Ruling is what & why?

For me:
a & b) I'd call double-dribble before travelling. Player begins the dribble with the placement of the ball to the floor. Can't have travelling while dribbling (play A), so nothing on the roll & walk. Picks up ball, the dribble ends (A & B). Begins dribbling - violation - double dribble.