Is it possible to remotely share my Xoom screen over the Internet? For example, say I was at my house and wanted to share the screen with a friend in another town. How would I got about it?
You can try Android VNC server on your tablet, it should do the work...
Please look at CatVision.io, it doesn't require rooting of the device etc. Works with Android 5.0+.
Disclaimer: I'm the author of this software.