Be warned: often times, the KE call center will say that "your ticket belongs to Delta and they cannot do anything." My father is experiencing this for his J award ticket next month. He even tried to add his Skypass number, etc.
This is very common for KE. They also do it for code shares. For instance, my brother and I flew KE operated flight purchased on Japan Airlines. His Morning Calm status didn't matter one bit, we couldn't do advance seats with Skypass number or anything...and actually even ended up at the very back of the plane. (If you are Morning Calm, they reserve first five rows for you, usually).