Problems with unlocking my iphone from carphone warehouse?

Hi, so i purchased my iphone from carphone warehouse about 2 years ago when the iphone 5 came out.

I went onto T-mobile and i have had a number of different T-mobile numbers. Some Pay as you go some pay monthly.

So i rung T-mobile and asked them to unlock my phone but they say it isn't registered to my name.

But i never registered the phone.

and they would not unlock it. So is there anything i can do?

i have the receipt of purchase and everything.

T-mobile even told me to contact carphone warhouse and said its them but it isn't.

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