André,
For the home page image, there's a few options. The best thing we'd recommend is going to the Open Graph -> Configuration area of JFBConnect. In the big "Defaults" box, add the following line:
image=http://yoursite.com/link-to-image.jpg
Whatever image you set there will be used on all pages as the image if no other image is set. That's a great place for a logo or other generic image that can work on your pages.
On your actual article pages, it looks like you have things set with our Open Graph plugins. For instance, on the page below, the image is properly set from the article automatically:
www.tanka.be/index.php/sport/wielersport...n-begint-morgen-weer
Like vs Recommend
Unfortunately, we don't have a way to set "Recommend" on certain blog views or the front-page and not others. In the Social configuration of JFBConnect, you can set the "Verb to Display:" option to "Recommend" for blog views, and that will set it for the front-page as well.
If you really don't want the Like button for just one article, you can use the "Exclude Article Ids" box in the Social configuration area to exclude that specific article from getting the Like buttons. Then, in the article text, you can add the following tag:
{JFBCLike href=http://site.com/link-to-article layout=standard action=recommend}
With that, you'll be hiding the normal Like button and then adding the Recommend button manually.
Hope that helps explain,
Alex