Congratulations on your new toy . Does the button 'click' like the others do? You might want to unscrew the 4 cap-heads that hold the fascia on and see if the actual switch works with no buttons attached. This should help you ascertain whether it's the switch or just a button issue.

As to your second question. When on AC power the lowest state it can be in is standby. You can't turn it off completely. This is normal behaviour.
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Marcus 32 gig MKII (various colours) & 30gig MKIIa