I am reading OPs post. Either they are writing phonetically in an accent, or they used google translate to post a request.
Either way, a difficult read, but understood.
You do not have to have an iCloud account or even use iTunes, to use an iPhone. You would need one to download apps though.
Their kids may have gotten into and enabled accessibility features, but resetting the phone would have cleared this up.
The other possibility is a final hardware failure, then using accessibility to compensate, but it's too confusing for the owner.
I agree with the OP's last assessment. It's time to get a new phone. My both my mother and mother in law, does not know how to trouble shoot basic iOS functions. You show them where to touch to read email and browse the web, and that's about it. I created iCloud accounts, run updates and install apps for them. I am the reason they can use these devices and maintain them.
Some people need a care giver, when it comes to technology.
iCloud Password ?? Unfortunately a Device with a Set of Passwords were asking for Trouble.. Honestly I believe the Fat Finger Syndrome has set in... Trying to Remember what action brought her to this point .. Apparently a Pop Up Ad of sorts appeared in Text Form and she attempted to Delete thereby causing the Disconbobilation.. 
