Hi Arthur,
These are good questions, and my responses are my opinion only, but based on being an electonics engineer in an earlier part of my career.
1. Leaving the B2 powered up all of the time is good for the lifetime of an electronic device. Powering a device up when it is cold causes a big power surge into the unit which can shorten the life of the product.
2. No, leave the B2 powered up, for the reason stated above.
3. To power down the B2, the procedure is to press and hold the 'Play/Stop' button until 'Saving' appears on the front panel display. This ensures that the B2 is in a quiescent
As has already been stated, setting the 'Screensaver' setting to '16' will cause the front panel screen to blank out after five minutes of inactivity, thus preserving the life of the display.
Regards,
Peter.