To reduce the velocity
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Yes. Zero velocity is a velocity; if it is always zero then it is a constant velocity.
Zero relative velocity to another object, sure no problem. Zero absolute velocity, not possible as there is no absolute reference to compare to.
As, in the velocity-time graph, curves passes through zero means 'when time is zero velocity is zero'. Velocity is time derivative of displacement. So displacement is maximum or minimum when time is zero in position-time graph.
If your velocity is constant, then your acceleration is zero.
The initial velocity is zero. In most basic physics problems like this one the initial velocity will be zero as a rule of thumb: the initial velocity is always zero, unless otherwise stated, or this is what you are solving for Cases where the initial velocity is not zero examples a cannon ball is shot out of a cannon at 50 mph a ball is thrown from at a speed of 15 mph etc