The key to these rulings is that a ball hitting the backboard (other than the back) is the same as hitting the floor inbounds, except that hitting your own backboard is not the start of a dribble.
So, (IIRC the questions correctly):
1 a and b) Neither of these are violations. IF the ball hits the back of the backboard, that's a violation (the back is out of bounds).
1c) A throw in must be touched first (or touch) by someone ohter than the thrower.
2) Not a violation.
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