UPDATE......... Yesterday I had a phone call from EE a general 'hello how are you doing" type call. Lady asks "are you happy with your phone and internet package" Ummmm? I told her, I don't have a phone and internet package with you.
She forwarded me to a supervisor. After a chat with him my response "I only have have a broadband modem that I pay £10.20 per month with 9gb download"
Long story short, they were going to bill me £31 and some pence for phone line and internet access. This error has now been sorted. I'm now, still paying £10.20 per month with UNLIMITED down loads. I'm a happy bunny. They also suggested, use the newly arrived wireless router, or keep using my old broadband modem. The chap on the phone said "there are not many of you left using a broadband modem"...... It's the 'clam shell silver one.
Thanks for all your replies.