It definitely sounds like your Touch's battery is bad. My Touch (an old model) lasts more than 30 days in sleep mode. (Current estimate is 41 days, but I'm suspecting the lower half of the battery will drain slightly faster.)
You say you've had your Touch for just over two weeks and have already charged it four times (at least)... That's an average of two charges a week: absolutely bad.
If I were you I would definitely exchange your device for a new one (either from the place you got it or directly via Kobo, depending on which is easier/faster).
As for your notes, I'm afraid I can't help you there. I hope you get some help in your other thread. You could look around this forum, there have been a few other posts about extracting notes and attempting to put them back.