CarPlay

Ensure the iPhone isn’t actually named iPhone 5 (Settings > General > About > Name) and maybe rename it if so, then un-pair and re-pair the new iPhone, and un-pair any other remaining old devices.

BeckySL Said:

"CarPlay: My iPhone 13 pro says discoverable as iPhone 5 and car play wants to play music from my old phone. How do I fix this to be iPhone 13 and not 5?"

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CarPlay:

If you cannot unpair this, then move this phone to the top of your device list in the audio system.