Why with a 400 year-old translation though?
NKJV is more readable for people who grew up reading blog posts instead of old books and generally retains the poetry of the KJV, but it's under copyright. I think it would be allowed for a use like this though, because they explicitly allow (as do most translations) quoting up to a certain number of verses.
EDIT: Maybe not, here's the rules: https://www.harpercollinschristian.com/sales-and-rights/perm...
Seems like you'd fall afoul for the % of total text requirement.
Since the author of this app is based in the United States, he should be safe… we have a bit of precedent for ignoring royal prerogatives here :)
https://www.biblegateway.com/versions/World-English-Bible-WE...