Can't log out of nonexistent icloud
To try and make a long question short: My iPhone is connected to a nonexistent iCloud account that is attached to a nonexistent email account. Once, both of those things did exist, but since they no longer do and I no longer have the password for said nonexistent account, I cannot sign my phone out from it to delete it and replace it with the working information. How do I fix this situation?
To explain further, my father attempted to help by contacting our internet provider whom the nonexistent email originated and they've never gotten back in touch with us. I cannot log into the old icloud account even with trying to reset the password without using the email, which leads me to believe that account no longer exists as well. I recently upgraded my iPhone 5, which had been set up using both accounts when they both existed, to an iPhone 6 and cannot get that information to change. This has created a problem with my phone constantly asking me to sign in to iCloud to the point of freezing my phone and my phone no longer being able to send iMessages and all texts being delayed (whether its send or receive) by two hours in addition to killing my battery quickly.
If there is anyone who knows how to fix this, I would greatly appreciate it!
iPhone 6, iOS 8.1.2