Hi Green,
The tracks that are created when the map is exported need to be styled to show as solid lines in your HB unit. See
this tutorial for steps on how to do that. The number of tracks that are created for a map export won't correspond to the number of tracks that were used to create the map, nor directly to the number of contours in the map. Each track can hold a large number of contours, as separate track "segments".
From the look of your HB snapshot, you do have the contour tracks on your unit - although from the look of your user map, you have a lot of contours which may end up looking a little cluttered on your unit. See how you go - you can always increase the contour increment and rebuild your map with few final contours, if required.
Matt