You will either need to get the old account working again or you will have to hope you kept your receipt from Apple when you purchased the iPhone from them. The iPhone "belongs" to the old account.
Apple has two related features, Activation Lock ( Activation Lock for iPhone and iPad - Apple Support ) and Find My ( iCloud+ - Find My - Apple ), which are designed to prevent anyone else from using an iPhone, iPad, or iPod touch if it's ever lost or stolen. Deactivation of either requires knowing the Apple ID and password that set the feature, or by placing a special request to Apple to reset the device. This Apple ID information essentially defines the current ownership of the device. If you do not know the required information or do not have an Apple accepted proof of purchase, the device is otherwise useless to you.
Here are additional resources if you are the account owner or have an Apple accepted proof or purchase:
● Read this article for disabling Find My if Activation Lock has not yet engaged --> Turn off Find My on your devices and items - Apple Support , or this one to learn how to remove Activation Lock either on the device itself or on the web --> How to remove Activation Lock - Apple Support
● Help with a lost Apple ID or password:
• For help with a forgotten Apple ID (this is likely an active email address or one used in the past), click here --> If you forgot your Apple Account primary email address or phone number - Apple Support
• For help with a forgotten Apple ID password, click here --> If you forgot your Apple Account password - Apple Support
● Reset device if you can prove to Apple's satisfaction you are the owner:
Apple can completely reset a device if a person can provide sufficient evidence of valid ownership. This is done online* at: Activation Lock support request - https://al-support.apple.com/#/additional-support Apple says, "Proof of ownership documentation is required," but does not provide many details in the article as to what is acceptable proof. Prior to this official service Apple typically required the original receipt** issued by Apple or an Apple Authorized Reseller. Note that while this will let you get use of the device again, it will not help you with lost access to an account.
* There is a special link for this service. To save time you should use it instead of https://getsupport.apple.com/
**Apple recommends you keep your receipt after you buy an Apple device. --> Keep your receipt after you buy an Apple device - Apple Support