One of my greatest strengths as a coach, and as a person, is my ability to see the forest for the trees.

As your coach, the first thing I'd do is diagnose which of your non-native sounds, speech patterns, or vocal settings, would improve your accent by a measure of 90%--if and when fixed. 

We'll then concentrate on addressing, practicing, and refining those specific elements of your accent. The other 10%, we can deal with later on, or secondarily.