Did you get the reply I tried to send you? I'm not sure it went through, so here it is. If anyone wishes to correct me, please do, as I'm no expert by far:
Honestly because I did sort of a mix method that was ridiculously easy I can tell you, but no responsibilities in me Ok?
Ok the first thing is to download the apk from xda that allows root by exploiting the vulnerability with the exynos processor. It's called Exynos Exploit 1.0. You then have to go into developer options and select "allow install from unknown sources"..
Then, when you run it, look for the super user widget within your application widgets. Grant access and you then have root.
Go to the play store and download Goomanager. Be sure to watch the description video to the end and fully understand the process.
Once you have installed goo, follow the video instructions to install twrp from the menu. Then grant it super user.
The next thing is to download Cleanrom 3.3 from scottsroms. Com or from xda. Save it to your sd card.
Once you have downloaded that, boot into twrp and create a backup. Don't forget this step! If anything goes wrong, you won't have a build to go back to.
Then, once you have the backup, boot back into twrp and select install. It should show your sd card. Navigate to the cleanerom zip file and make sure you select to cache delete and factory wipe.
Let it run, select the options you want. I selected the stock kernel and the applications I wanted to be installed. Then, when you reboot, don't be surprised if it takes a while to come up. Just let it sit until it does. You will see a black screen with the nexus "x"in the middle of it. Then you know your good! It should go into your security screen, and just proceed as normal.
Play with it for a second to make sure your functionality is there, then go back into goo, boot to twrp, create another backup under a different name that you will remember. Then simply restart the phone and play with the new functions!
In this forum, there is a thread and video about the features of Android 4.1.2 on the note 2. I actually subscribed to the guy because he gives tons of tipson the note 2.
But that's it. It took me longer to write this, than it will for you to complete the whole process. Just make sure you have a fully, or almost fully charged battery and you should be good.