Around here, they will run the felt underlayment on the roof first, then the drip edge is installed. By doing so, it keeps any wind from grabbing the edge of the felt paper and ripping it all off. Then the ice guard goes on top of the drip edge.
Also I have never seen ice guard run up the roof at the gable end. It is always ran at the bottom of the roof (gutter side) for at least the first three feet. This prevents damage from an ice dam backing up and damaging the roof. Ice dams are created where the water from snow melt runs down the roof during the day but when the water hits the gutters will freeze. This will build up over a matter of days until the gutters are all the way full of ice. Then you have more snow, some sunshine later, snow melting off the roof, then running down to where it hits the eaves (overhang) that is not insulated and cold, building up ice there. If the weather is right, this will be repeated over the period of a few days and ice will start working its way back up the roof. Ice guard prevents the damage to the roofs plywood / OSB.
One way to prevent ice dams is gutter heater heat tape, but that can be expensive. Not only in the heat tape itself, but in the running of the electric for it.