1) Yes, you can even do the bezel gestures, RIM had a pretty good idea when they implemented those on non touchscreen BlackBerry devices.
Originally Posted by tufcustomer
2) Yes, I've watched videos that were from television networks that had their content encoded in flash. Just something to note is that the PlayBook does not support silverlight, hence one of the reasons why Netflix using the desktop site doesn't work. As well as be aware some websites will detect you are using a PlayBook and block that content. So in terms of the capabilities, yes it's capable. In terms of the "can I actually do it?" factor, you'd have to test that out.
3) Check your HDMI settings, there's a few ways to display content on a screen when you have it connected, simply go to the homescreen, swipe down, select HDMI from the left hand side menu and fiddle around with the settings