Re: Lines in Contour Labels
click on the label. in the "Properties" dialog box, the 2nd line down is "Display Contour Label Line". Change this to "False". You can do a "Quick Select" to do multiple labels.
Re: Lines in Contour Labels
Note that you can change your command settings so that the contour line labels are set this way as they are created. That way you don't have to constantly change this setting as you label contours.
Toolspace -> Settings -> Surface -> Commands -> AddContourLabeling -> [rt-click] Edit Command Settings -> Contour Labeling Defaults -> Display Contour Label Line