
The first thing you should do (after it stops raining) is to get up on a ladder to check that the gutters themselves aren’t clogged. If the gutters are clogged, it’s possible that the water is overflowing the gutters and this is contributing to the leak.
While you may install a gutter apron over a drip edge on a new roof, this would be redundant. You would either need a gutter apron or a drip edge. As these two roofing components are there to achieve the same job and are installed in the same space, you would not want to install both on the corresponding edges.