Iveth,
The error is stating that you are running out of RAM for Apache. It looks like your server is configured to use up to about 130MB per page load, which should be way more than enough. For reference, this site is configured to 80MB, but only use about 15MB per page on average).
When you enable the JFBCSystem plugin, it simply causing your site to go over the memory limit. The JFBCSystem plugin doesn't use a lot of memory, it's just simply the tipping point that's causing the problem. The error your seeing is actually being thrown in a core Joomla library.
To fix, you should either disable unused extensions on your site or increase the memory limit of your web server (how to do this is server specific and you'd need to contact your host).
Hope that helps,
Alex