Any particular reason why you chose not to use iCloud? Would you make an exception to just backup your iPhone to iCloud and restore it to the new phone this one time? It would make the process a lot simpler.
However, if you insist on using iTunes, then there shouldn't be any doubt as to why the restoring process won't work. Just make sure you're running the latest version of iTunes.
Typically, service providers requires IMEI numbers in order to activate cellular service to said device. Even if you transfer all the apps, data, photos, etc to the iPhone 14 now, you won't be able to make calls using cellular service. Sure, you can send iMessages and use Factime to make audio and video calls, but that's only possible because those are internet services accessible through your Apple ID.
If you encounter issues transferring data to the iPhone 14, just restore the iPhone 14 and try again. If the problem persists with iTunes, then your best bet is to transfer the data through iCloud.
Apple makes the restoring process really easy if you allow it to work the way it's intended... through iCloud. You could take it to your service provider and have them transfer your stuff for you as well. However, there are horror stories out there where they've completely botched the process and claimed no accountability.
Good luck with your process, cheers!
