Ad 1. It might happen and it might be a default behaviour, I guess. Look at settings of battery management. I think that default setting is standby in x min and off in y min. Change it to standby in x or none.
Ad 2. I never heard of problems with buttons. There is/was a problem with pen not responding, if it is kept for cca 1-2 s close to screen not moving. The rescue is to move the pen cca 10 cm above the screen.
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