I don't agree that the sun/moon remain parallel to the earth. I believe that they follow the shape of the firmament, being in it, which is shaped like a dome. This would explain everything about the model, why the sun moves "faster" when it's farther South and slower in the North. If the firmament makes a single revolution around the earth in 24 hours, and the firmament is shaped like a dome, then there would be a larger circuмference to traverse in the South, thus causing it to move faster ... not unlike how they say that the earth rotates faster closer to the equator. This would also explain how the lengths of days are roughly the same in opposite seasons, but with a more diffused and less abrupt sunrise and sunset in the south. So, even though it's moving faster in the South, the sun is also closer to the plane of the earth, and thus would disappear more quickly due to convergence with the horizon, atmospheric occlusion, etc.