Hi Brandon. Can you tell me what value is set for Zoom Adjustment? (WP Dashboard> SLP> User Experience> Map> Map Settings> Zoom Adjustment)
This setting is a number from 0 to 19. It sets how tightly to auto-zoom to the locations shown. Lower numbers are closer to the locations. I’m not convinced that this is your problem, because the map does not move at all, but its the first thing to check.
It is possible that another plugin is interfering or an incompatibility with the theme. You can try debugging by disabling all other plugins and using a generic WP theme like twenty-fourteen.