1st - Female birds do not need a male to lay an egg - this is how we get eggs that we eat - No male around - those eggs get gathered and sold to stores.. Male around = Baby chicks
2nd- if she's around a year - that's when they normally hit maturity and start going in to what is known as "breeding condition" Normally the cere (fleshy part above the beak where the nostrils are) will turn tan then dark chocolate brown BUT this is not always the case some stay white
3rd - the newspaper tearing up is called "nesting behavior" they'll tear paper up, kick seeds out of a dish use toys that are able to be used as nests - like Happy huts, those acrylic block toys they're supposed to go in and out of, Some have used coconut shell toys as a nest
You'll need to do a few things to get her out of "breeding mode/condition" Make her day light hours shorter - meaning cover her cage earlier and un cover it later in the morning so she thinks its "winter" this usually helps stop them from laying
Another thing that usually helps is rearranging the cage, everything from where the perches are located along with the direction they're in Like if they all go from front to back switch some to go caddy corner and or from side to side, Along with rearranging all the toys
if you have a grate at the bottom of your cage Don't put paper on top of it , just put the paper in the tray under it , if you don't have a grate See if maybe you can find one that will fit - or get a cage that has one.
I hope that helps you out
you can relax it's normal