I think for question 1, the change in flux is going to the right. Therefore, it means the "reaction flux" is going the left. Use the right hand grip rule with the magnetic field to the left, same as the "reaction flux". So i guess the current is from x-y. I dunno if I'm right though. I dunno how to do the other ones.
the current through the resistor is indeed x-y, your reasoning is quite correct.
question 2since the graph did not give any values on the V axis, I'm going to assume by "average" they don't mean RMS, hence the average would obviously be 0
question 3by the right hand grip rule, the direction of flux INSIDE the coil would be to the left, and hence magnetic field lines would flow OUT of the left, i.e. this is the
north, and the other side would be
south. you'd just draw the field lines line a normal bar magnet.
another way to think about this is, at the south end, the current flow clockwise (in the direction of the two ends of the "S")