lowell finanacial three mobile alleged debt

[sparrow75]

hi everyone im after a bit of advice regarding lowell financial and an alleged debt with three mobile.i have added the first letter lowell sent me (lowell1) dated 23rd nov 2016 and my response (lowell2) which was sent recorded and received 3/12/16 which was basicly a prove it letter.today i got a response from lowell which i have added also (lowell3) pretty much saying they dont have to prove anything at all but adding that no contract may exist as it can be done on the phone/internet or mail order,but telling me what was in my term and conditions which i wouldnt know as they never supplied me with it.but they have accidentally told me in print that the last payment was made on the account 10/09/2010 which means to me they are now knowingly chasing a statue barred debt.what should my next steps be? send a statue barred letter? or tell them to start legal proceedings and let them explain in court why they dont have to prove liability of the debt? any help will be most grateful thanks.