The thing you have to remember about electrons is that the movement of electrons is the equivalent to the electron current, which is in the opposite direction to the conventional current. So when you apply right-hand slap rule you have to have the thumb pointing in the opposite direction to electron movement.
With your questions, you have to consider the magnetic field produced by the wire. Let's say that the electrons are coming down (from above). The field on them would be outside the page. Then applying the right-hand slap rule you get a force on the charged particle which is to the right.
If the electrons are parallel to the wire. The field applied to them would still be coming out of the page. Using the right-hand slap rule they would be deflected away from the wire (direction depending on being above or below)
At least that's what I think...