Davis,
I apologize for the delayed response. I missed this post for some reason.
1) For the color, you can add the following to your template's CSS file and override the color to whatever you'd like:
.sourcecoast.facebook.request {
color: blue;
}Most of our modules/widgets use a similar class scheme to make it easy to select them through CSS.
2) There isn't a "standard" invite your friends button that I'm aware of. The Requests feature of Facebook is used for both inviting friends/new users to your site as well as letting user's send their friends a pre-defined update. For instance, in a game, if someone makes a move, the Request can be sent to the friend that it's their turn. So there's no standard functionality for how it should look or be implemented.
The picture you show in the attachment above is the older JFBConnect logo that we used to use when we were Facebook only. It's not a common symbol for Facebook invitations at all.
I hope that helps explain, but if you need anything else, just let me know.
Thanks,
Alex