apple id problem can't create

Try and create an Apple ID on the web to see if the issues persist. See these instructions on how to do that.

Create your Apple ID on the web

1. Go to appleid.apple.com and click Create Your Apple ID.
2. Follow the onscreen steps to provide an email address, create a strong password, and set your device region. The email address that you provide will be your new Apple ID.*
3. Enter a phone number that you can always access.
4. Check the boxes to subscribe to Apple Updates if you'd like. This keeps you up to date on the latest news, software, products, and services from Apple.
5. Click Continue.
6. Follow the onscreen steps to verify your email address and phone number. 

After you verify your email address, you can use your new Apple ID to sign in to the iTunes Store and other Apple services such as iCloud.

See this link for further reference How to create a new Apple ID - Apple Support