How do I bring my Quicktime DV from 2013 to life?
Apple fully rewrote iMovie in version 10.x. For iMovie 2014 to open projects of iMovie versions 7.x, 8.x, and 9.x (iMovie '08, '09, '11) you have to use iMovie's 'update' feature which changes previous project files into the new format. To do that, you place the old folders named 'iMovie Projects' and 'iMovie Events' into your current 'Movies' folder. More details here:  https://support.apple.com/en-us/HT202853

For even older iMovie project formats ('iMovie HD') one would have to use  import them in iMovie '11 first (File > Import > iMovie HD Project) to bring them into that format, then 'update' the imported projects in iMovie 2014. However, when importing these very old formats into iMovie '11, they get stripped of added audio files, transition effects and titles.