Perfect. I can finally plow through a few characters that have been pending as I tire of the planet arcs. The class stories remain the top feature of SW:TOR - thank you for allowing me to experience them a little more painlessly over the coming weekends.
Incorrect. Rested experience only affects the killings of NPCs, double XP as a part of this promotion affects literally everything (space, quest rewards, PvP, etc). Technically, this double XP is way better than what you would normally get from rested.
Then, as I listed above you can increase those benefits through boosts and Legacy perks.