1) Even with alarms on the door, which will tell you she has attempted to get out... she CAN still get out the door. Even if the alarm sounds off. Thus, she can still "escape" to who knows where. And kids can run fast, and "hide" too. So, that is also a danger. By the time you hear the door-alarm... and you run to the door, she could already have gone outside and left... the property or premises etc. Thus, to me, this is not enough of a preventative measure.
2) You might just have to, decide between which is worse: keeping the door alarms, but in which she can STILL get out and end up who knows where. OR.... put door locks/latches up HIGH on the doors, with a key lock. And then she cannot get out. And she will still be inside.
3) You said, she doesn't "go running into the street..." or anything like that... BUT she WANDERS around the neighborhood and into other people's property and premises. And even breaks other people's screens and knocks on other people's windows etc. SO.. that is still, dangerous. It doesn't matter that she does not "go running" into the streets. She STILL WANDERS and does things to other people's premises. It is still, highly dangerous, for her. What if, she happens to end up in someone's yard, and they grab her?
I think, you need to do what is the immediate need: put locks high up on the door.... even with a key lock. So that she cannot get out. Because, nothing right now, even the door-alarms, are not working. That is just a sound signal. But if you are not fast enough to get to the door, she can still get out.
And meanwhile, she is not comprehending, the concept of how this is dangerous, and how dangerous the "potential" of her wanderings, are.
4) Per the sliding glass door with plastic frame: try going to your hardware or home improvement store, and ASK them, what can be used on it, to secure it???? Ask them. OR... you might very well HAVE to, replace that screen sliding door, with something else... in order to provide better security.
There are 2 solutions:
1) do the immediate installations of high up locks on the doors & replace that sliding glass door.
2) Get her evaluated. Nothing right now, punishments or talking to her is working. And even if she starts to understand... it will take TIME. And meanwhile, she will STILL be getting out of the house and wandering... and who knows what trouble or danger, might happen as a result of her wandering. So for me, potential trouble outside the home due to her wandering... is more dangerous than putting locks high up on the doors.
So choose, which one you can live with or not.