I think that the Apple version of bluetooth is not compatible with other versions of bluetooth? I share documents and pictures between my iPad2, PC and HTC Desire (also Android) by using Dropbox. Find it in the App Store and Google Play for free. Keeps documents synchronised across all the platforms.
Thinking of switching to the Note myself and have had a look in the phone shops. It is huge compared to my Desire but would be great for when I don't want to carry the iPad. Do you use it as a book reader at all as the Desire is too small and the iPad too heavy to carry on a daily basis for this?