(1) The computer must be awake to update. But there is this setting in "Maintenance (type into Search), Change maintenance settings" which will wake the computer...


I don't think I've ever tried it. Put a check in that box to try. But Sleep doesn't last forever. Once entered, it normally will last for 3 hours, then automatically will Hibernate. I'm unsure but think it won't wake from a hibernation.
(2) "if I leave it in sleep mode -- does that count in the time I buy for the month!"
If it wakes & does a download, I'm pretty sure it will count.