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usually pressing the power button will shut off the screen and pressing it again will reveal the lock screen
usually pressing the power button will shut off the screen and pressing it again will reveal the lock screen
But I need shortcuts on my LOCK SCREEN.
Theres no option on my phone to set them.

You don't need to download anything on an S3 mini to get lockscreen shortcuts. Since you're using the stock app, go to settings>lockscreen. Under screenlock, it should be set to swipe, or if you are using a pin or pattern, you need to put a check on "with swipe lock" option. This will open the "lockscreen options" menu. In there, turn on shortcuts by swiping the slider so it turns green. You can select what shortcuts you have by tapping on that entry as well.
wait, you mean to say that yours can't scroll up past that? That there's no other options?
There it is.That's weird. But you have everything else? All the other options for an S3 mini?
Could you give me a screenshot of the "about device" section of your phone?
Is this a carrier branded device? Everything seems ok. That's odd. Can you do a factory reset just in case?