She'll probably not get hurt climbing up the screen, but I'd make sure its in there securely just in case. If water doesn't work, have you tried noises? Try putting a few pebbles in a clean empty soda can and taping it shut. Then shake that when she's doing something naughty - some cats hate that noise and it will disrupt whatever they are doing. Have a toy she likes handy to then substitute for something fun and approved to do - and let us know how it goes!

As for chewing on cords, you can try the substance called "bitter apple" that pet stores sell - it tastes nasty, and if something tastes bad, she'll likely move on. The other course of action is covering or hiding all electrical cords - that's what we had to do with our rabbit. Paper towel tubes are great for this!