I'm also having a problem with JetPack and Featured Content. I used the Twenty Fourteen plugin to adjust the padding between featured content/home title and it made the Featured Content disappear on the home page. I then disabled JetPack and Featured Content came back.
Another problem - maybe related. I can't get the padding to work on the home page - no matter what number I put in the space between featured content & title doesn't change. It does work on all the other pages.
The site is http://www.fionareid.ca/