Can we change the icons that appear beside the Map Link or the Manage Routes Link?

You can, these can be changed through the configuration settings. Locate the fields labeled Maps link icon CSS for the Map Link or Manage Maps link icon CSS for the manage map link icon.

These icons are imported from the DashIcons library and using CSS classes. Browse the Library (click here)and copy the icon that you want to use. Then paste this CSS class into the field in the PeepSo Configuration settings.