To customize the look of a post to Facebook you need to set Open Graph tags, which are what describe the title, description and image that Facebook should use. You can set those tags using JFBConnect with the following tags on the post page, like:
{SCOpenGraph title=Title for page}
{SCOpenGraph description=Description for this page}
{SCOpenGraph image=https://site.com/link-to-image.jpg}The actual values to set there would usually change page to page, so you'd need to determine how to set those dynaically. That may be a question you need to post to the JomSocial developers as I'm not sure the best way to do that and, for status updates that don't have an image, what you'd want to use.
You can set a default image to be used on all pages of your site, which will be used when no other image is set. That can be useful to set a logo or other image that you'd want to have in case no other images are set. To do that, go to the JFBConnect -> Open Graph -> Configuration area and in the "Defaults" box, set the image with the following text and a link to the default image/logo you want to use:
image=http://site.com/logo.jpg
I hope that helps,
Alex