I think Lulu has given some great advice.

I just wanted to add...the next time she climbs on that bed and presses against the screen you need to remove the bed from the room. If she climbs on something else, remove that too! It's very dangerous. If she ends up with an empty bedroom, so be it.

If you threaten anything, go through with it or she will never take you seriously.

Give her lots of attention, kisses, cuddles and praise when she is being good.

Any chance at all of some one on one time? Anyone that could watch the other two kids even for an hour? Maybe let her stay up late occasionally, after the others have gone to bed and watch a movie with her.