A:AnswerAs long as your laptop is running Windows it'll work. Brand doesn't matter as much as operating system when it comes to peripherals like this one.
A:AnswerYes there is an on/off button on the upper right part of the keybaord (Logitech - K270 Wireless Keyboard).
I've been using the Keyboard for well over a month, and no battery issues yet, and I've frequently forgotten to turn it off at the end of the day. NO issues with battery life so far...
A:Answergo to HPs website and get the latest manual, they update those manuals all the time as slightly different variations of the same model come out