New Nano screen rotation??

Are you referring to this manual: http://manuals.info.apple.com/enUS/iPod_nano_6thgen_UserGuide.pdf

Check page 13, use 2 fingers and rotate the screen. Works fine on mine.

You can watch a YouTube video to see how

Place 2 fingers on the screen and twist until the desired orientation is reached.

None that I know of. You may need to get it replaced.

Or remove the leather gloves that you're wearing.

Mine did this as well so I went to settings>restore settings and then it straightened out

Thanks for this, been annoying me!

Check out the tutorial on multi-touch at the bottom of this page...
http://www.apple.com/ipodnano/design.html

Failing that, reset the iPod Nano...
*How to reset an iPod nano (6th generation)*
Press and hold the Sleep/Wake button and Volume Down button simultaneously for at least eight seconds or until the Apple logo appears. You may need to repeat this step.

If the above step did not work, try connecting iPod to a power adapter and plug the power adapter into an electrical outlet, or connect iPod to your computer. Make sure the computer is turned on and isn't set to go to sleep. Try resetting the iPod while it is connected to power.

Or call Apple. It's so new, it is still under Apple Care, and they will guide you through it...
http://www.apple.com/contact/

You can also do a hard reset on the device. Make sure the nano is not hooked up to iTunes or to a power adapter. Hold both the sleep/wake and the volume down button ( "-" ) for six seconds until you see the Apple symbol and then release and let it restart. Perhaps this will fix it.

Good luck and don't forget to let us know what works.

M