FB Login Not Working & Button Display Issues

Long list of things, but we're here to help. Let's take them one by one.
1)
a) The Login / Register button at your top bring the user to a popup where they then have to click "Login" or "Register" again. The "Login" then pops up the SCLogin module. I'd highly recommend replacing those 2 buttons in your header with the SCLogin module itself. The module has the option to show the Login & Register buttons as links, just like on your site already, and how it's shown on this site. That will remove a layer of confusion for your users.
b) This also causes the first popup, with just the second Login/Register buttons to keep displaying when the new popup appears and makes entering into the 2nd box difficult.
c) The height issue of the actual Login button seems to be a CSS conflict with your template somewhere, but I can't see where right now, for some reason. It's like the height of the text isn't being used to size that button, which is very odd. If you can do 1a) first, that will help narrow things down quite a bit.

2) Not sure here. After getting through 1) above, I was able to click the Facebook button and was brought to the JFBConnect registration page. Things looked correct there to me, so I can't recreate this. Can you:
a) Try with a different Facebook account
b) Try with a different browser and let me know what browser you were using to test?

3) I'm assuming you mean the title on the authentication page of "Project Default Service Account"? If so, you'll need to:
a) Go to the Cloud Control Panel: console.developers.google.com
b) Click into your project
c) Go to Settings in the left menu bar
d) Click "Rename Project"

4) Woo hoo!!!

5) What shopping cart are you using? Most likely, we don't have a way to automatically add the social buttons to your products, but there are a few options:
a) (Easy) Implement the SCSocialWidget in a module position that's available on your product pages. The SCSocialWidget will show the major social sharing buttons and is easy to configure.
b) (Easy) Implement the SCSocialWidget to 'float' in the corner of the page. That's what shows up in the bottom right of all of our pages and is easy to implement and just works. We can help with any styling issues you run into, as right now, the defaults are a bit ugly. We'll be implementing the style you see on this site in the next release.
c) (Harder) Edit your shopping carts template files and add the tags for our social buttons wherever they should appear: {JFBCLike} {JLinkedShare} {SCTwitterShare} etc. This is a little more complex as it involves modifying your template, but it lets you add the buttons exactly where you want.

6) This is something we'll be addressing with a new module soon as well which will let you turn on/off buttons for different FB Pages, Twitter streams, etc. For now, you'd need to create a few instances of some modules to do this:
a) "Like our Fan Page": SCSocialWidget -> Configured as Facebook Like-Box. Add your Page URL and you can choose to show the stream and user faces from your Facebook page.
b) "Twitter Follow": SCSocialWidget -> Configured as Twitter Follow. Add your Twitter username in the options
c) "Google+": SCSocialWidget -> Configured as Google Page Badge

I hope that helps get you started. Obviously, there's some hurdles to overcome, but we'll gladly help however we can!

Thanks,
Alex