Maybe Kevin guessed what you were referring to. Otherwise, you can either scan it or take a picture and post it here for us.

The direction a note faces has to do with how high or low it is. If they are above the B they usually face right like Kevin's image above. If they are below B they face left. The reason for this is to keep the direction of the stem from sticking out too much.
Exceptions are when notes are tied/grouped together. In this case the grouped notes face the same direction and the direction based on the height of the group or majority in the group.

Yes, that has to do with the grouping. The single B at the end of measure 8 is not grouped with the previous E because the connection would have made it like two eighth notes. Grouping the 3/8th notes makes it easier to see/understand the beat.
Theoretically one could have written two 8th note E's with a tie and grouped them all together but that is not usually how it is done.

I would play it in 1st position. Slightly less and more comfortable crossings and it seems like the articulations work out better that way. Experiment with putting the first finger on both strings simultaneously and leaving it down as much as possible.