The green bar at the top usually indicates soneone is on the phone with you. If you "surf and talk", you see the green bar. So if there is no one on the line, then it's a bug of some kind. You might check with your carrier.
The problem was this. The wallpaper that I was using was a photo from my previous iPhone 5s. The 6+ was trying to adjust the screen size. Changed my wallpaper and the green is gone.