1) The Google+ button is missing because of the RocketTheme RokBooster plugin. It changes the social tags in a way that makes them unworkable. We've gotten around the issue in the latest 5.0 release for all of the Facebook features, but the same changes aren't possible for the Google+ button. There's a support thread about this on RocketTheme already:
www.rockettheme.com/forum/index.php?f=62...86341&rb_v=viewtopic
I'd recommend posting there to hopefully raise the priority and have them fix the issue. Beyond that, if you want the Google+ button, you'll need to disable the RokBooster plugin.
2) There's a style in your template that looks like:
iframe, svg {
max-width: 105%;
}
That needs to be removed as it's limiting the size of the iFrame that Facebook is opening. Since RokBooster is enabled, I can't see the actual CSS file that has that line.
3) This is a bug with Facebook's Fan module. You can use their configuration tool to hopefully find settings that work. They state they support only a minimum width of 292px, which the border should always show at. Smaller than that though, there are only some combinations of width/height when the stream isn't showing that will fully show the border. Try to play with the configuration tool and see if you can find a setting that works:
developers.facebook.com/docs/reference/plugins/like-box/
Otherwise, enable the Fan Box on your page and let us know where we can see it to help you debug it further.
Thanks,
Alex