Wow! You must've just got your Note 2?
1. There is tiny button on the side of your S-Pen. Press and hold this small button and draw this symbol < anywhere on your screen.
2. Not sure if there is a default for the home button but I just press it with the tip of my S-Pen!
Hope this helps...
Tip: If you go to the S-Pen sub-menu under the Settings menu, they have tutorials I believe...