Can't Delete/Sign Out Of Amended Apple ID

Question

Hi Folks,
Bit of a conundrum. I have/had an Apple ID which was an email address which no longer exists so I signed in to my Apple ID online and changed the ID to a new email address. I've just got an iPhone 6 and successfully transferred (via back up and restore) from previous iPhone 5. The problem I have is that the new phone is assuming the older (now incorrect) Apple ID in the iCloud features. This is really frustrating as I amended my Apple ID before I configured the iPhone 6. Now I can't sign out or therefore delete this ID so that I can re-sign in with what it is now called as it keeps me to enter the password...which it suddenly keeps insisting is incorrect!!!
Here's the sequence of events;
Logged into My Apple ID with old email address and password
Changed Apple ID to new email address - did not change password
Verified new address via confirmation email
Successfully configured new iPhone 6 using Restore from Backup
Started receiving prompts to enter password.
Password Incorrect
Noticed iCloud etc was referring to 'old' Apple ID
Tried signing out of Apple ID but can't because I'm apparently entering incorrect password.
So I'm stuck in this endless loop. I can't reset the password because the email address (which was the original Apple ID name) no longer exists. I've even tried to reset the iPhone 6 and start again...but...you guessed it, I need to enter the password for the 'old' Apple ID. It's worth noting that I did manage to successfully enter the amended (new) ID into Settings/iTunes and App Store - as that just let me sign out without prompting me to enter any passwords. I then simply signed back in again with the amended details using 'Use Existing Apple ID'. Unfortunately this isn't possible for iCloud/Facetime/Message etc.
In short, how do I delete an Apple ID without the password?
Any help greatly appreciated,

Answer 1

Hi Lawrence,
Many thanks for your help. I changed the ID back to the original and reset the password, which allowed me to sign out/in on my iPhone 6. Unfortunately the interface within "My Apple ID" is treating the Apple ID and Primary Email Address as the same thing, therefore in order to verify the account I have to have access to an email that I can't access (see screenshot below). I was hoping that I could configure the primary email to something different that I could access, but alas that doesn't seem to be the case. I have an alternative email in there but it won't send the initial verification to it.
Unless Apple have a way of trashing the @utvinternet.com email for me, I might have to consider creating a new Apple ID, but that obviously brings it's own set of problems like losing Contacts etc. I also have an @icloud.com email which I would would be worried about losing in case it's allied to this existing Apple ID and can't be used by a new Apple ID.
Any plan Bs?!