Can't install any app, App Store asks for money Now, for every new application, even those free ones,I have to confirm for pay money. And then App Store asks to enter my credit card information. If I disagree and hit "Cancel", installation process is interrupted and I can't install any application, even free one.
Not really clear what you mean with "I have to confirm for pay money" when downloading free apps.

If you download free apps and haven't attached a payment method with your Apple ID yet, Apple asks you to do so. Nothing about asking for money. You can still tell Apple to use "None" as a payment method instead of declining the process altogether. As soon as you've done that you should be able to download free apps without getting bugged again.

Also: did you just create the Apple ID or is it an existing one? Please refer to the support article outlining how to use the App Store without a payment method:

Create an iTunes Store, App Store, or iBooks Store account without a credit card or other payment method