It show my old Apple ID

Did you create a completely new Apple ID, or did you change the mail address, as explained in this article?

Change your Apple ID - Apple Support

Logging out from the iTunes Store, restarting the phone, and logging in again with your new Appel ID mail address did not work?

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iPhone, iPad, and iPod touch

If you’re using iOS 10.3 or later, go to Settings > [your name] > iTunes & App Store. If you’re using iOS 10.2 or earlier, go to Settings > iTunes & App Store.

• If you're signed out, enter your updated Apple ID and password.
• If you're signed in with your previous Apple ID, tap your Apple ID, then tap Sign Out. Then enter your updated Apple ID and password.

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copied from: What to do after you change your Apple ID or password - Apple Support

Check the App Store and iTunes Store to see if there are any updates for apps/purchases. A request for another Apple ID or password is often caused by updates to apps/purchases that were made when using the other ID. Those purchases are tied to the other ID and can't be transferred. One option is to delete the apps/purchases made by the other ID and download them using the new ID if desired. After deleting the apps, it may be necessary to restart the device/computer before you can download the apps again. If necessary, check your purchases history to see which apps/purchases weren’t made by the current ID. 

Purchase History Review.  *

Did you also took the additional steps after changing the Apple ID mail address?

What to do after you change your Apple ID or password - Apple Support