Stock cable as well? Brand new, you un-boxed it originally or bought used/new from someone else?
+1 crappy chargers/cable will cause the ghost touch bad grounding issues...
Just tried it and I dont see any jittery touches on mine. On stock charger and cable. But I do know what youre talking about because it happend to my skyrocket when using a cheap aftermarket charger and on the lockscreen, i couldn't unlock my phone...the touches was jittery. But so far my note doesn't do that.
-Once you go NOTE, you'd say 4 inches a Joke