Very good, and especially depending on the nature of the funeral, your version is about the right tempo, and also with a sense of hope. One comment would be to not play it any faster. If the mood will be real serious/somber, then perhaps a touch slower might be good; if the mood more hopeful, it is perfect. Again, your version is very good.
Curiously, I will also be playing Amazing Grace, along with some other hymns at a belated gravesite memorial service for one of my aunts at the end of April, though on mountain dulcimer.
It sounds like you had a real good relationship with your aunt, and those types of memories are very precious.