1. Why are you using the mobile version of Gmail? You can use the full version easy.
2. Yes there is a Facebook app, and it the first Tablet to get one.
3. Nothing is suck on your playbook as it shows up as network share, meaning it work for Mac, Linux, Unix and Windows, even when it's powered off. That's why you get more battery drain that the IPAD which does nothing. You can copy movies over your wireless network while watching another movie and then outputting it to your TV using the HDMI cable, and then also surf the net, because you can display one thing out on the HDMI and display something totally different on the playbook. Yes you can do all 3 things at the same time and when the move finishes copying, it just shows up in your play list. You try sync 30gig of movies on your IPAD... it sucks, and you can do anything while it doing it.
4. My Playbook lasted 3-4 days without a charge... would have been longer, but it's hard to not want to play with the playbook.