iPhone 5-brand new out of box-touch screen possessed

Hi all, I'm in south africa. Just got my new iphone 5 and was very excited. Took it out of the box and started charging and from the moment that the phone switched on and I tried completing the wizard, the **** phone starting clicking(touching) all over the screen by its self!!! It activated the zoom function and auto zoomed everywhere. Couldn't do anything with it. So i left the phone and hooked up itunes to update software from 6.0.2 to 6.1 - this is thought solved the problem.. The phone seemed okay after that, but noooooo it wasn't. It just does what it wants sometimes. Typing for me and touching all over and making life ****.

What i have noticed is that the phone ( which I'm using to post this now ) is okay most of the day, except first thing early mornings when the phone was left alone overnight. Once i wake up and check my phone it starts going heywire again... So i immediately just press the off button to kill the screen. Leave it for a while and then try again - doing this over and over until the phone stops its nonsense. Then it seems its okay during the day when its warmer... Weird as **** and very annoying.

Has anyone had the same issue?? I can't find any related iphone problem, except for 2004 posting of ipad doing this...

Please help

Regards, Dewald