How do I enable notifications on my LG G3?

[AC Question]

I just got an LG G3 and I can't seem to figure out how to enable my notifications to show a push notification. When I have a Facebook notification, the symbol will appear on the shortcut, but not for any other app. Any help is appreciated, thank you!

Also, when I get a text, a preview shows on the home screen when it is unlocked. Can someone tell me how to disable that?