Your first described screen isn't the lock screen. That's the ambient display. You can turn that off in Settings > Display > Ambient Display. Then...
If you're talking about the secret app shelf; open up your app drawer, slide from the left. The VERY left. Like your finger has to start from all the...
I am intrigued by the fact that Face Unlock doesn't seem to be working properly, but I'm glad you've gotten your phone actually locked now. Face...