BT account mistake new contract sorted is old contract ended?

mongoose2009

 I now longer needed my BT home essential's package and i wanted to change the name on the account to my mum who is at the same address and was eligible for BT home  essentials

I was told that wasnt possible so id need to cease that account and start a new one for her and a new fibre 1 broadband service at £31.99 mth and then transfer to BT essentials when it was up and running so i went ahead and agreed to that all the direct debits etc and my old service ceased on 21st dec and then i started with the new account and router etc and all up and running. 

so i called on 22th dec and asked to be put on to the BT home essentials package for my mum but he said he tried to but that wasn't possible as the account was  in my name  i asked to change it to my mums  name and he said he would action that and get back to me with later that day nothing happened. 

so i rang on 27th dec  again and explained and was told that they couldn't do that at all but what SHOULD have happened was a existing line take over. so he set that up  and set it up as a totally brand new user account and as a existing line take over and everything went thru and it was able to put me  straight onto BT home essential's with a start date of 11 Jan. i received all the emails and that looks like its gonna be wrki fine

I asked what would happen to the previous contract? as i did a new account within the 14 day cooling off period would that just be voided? he said it wouldnt be charged anymore for the old account . i received a email saying that someone applied to take over and if thats correct do nothing and that the contract would end. will that just be it?

  I dont want to be liable of a 2 yr  fibre 1 account?