Will a planet or comet be moving faster in its orbit when it is farther from or closer to the sun?

No difference.

A planet, asteroid, space station, rock, empty fuel tank, asteroid,
lost space probe, TV satellite, orbiting telescope, moon, or comet,
if they're traveling in the same orbit around the same central body,
all have the same speed at the same point in the orbit.

You need to be more specific.  i really don't know what a "motion map" is.you can draw a graph of an object's position, distance, displacement, speed,velocity, or acceleration versus time, or you can draw a graph of the object's x-position versus its y-position and not give any information about time at all.if the graph presents position or displacement against time,  then constant velocity is a straight line . . i.e. a line that has  constant slope.if the graph shows speed against time, then constant velocityis a horizontal piece of line.if the graph shows acceleration against time, then constant  velocity is a piece of line that lies on the x-axis . . it's value is zero.