So far I have:
Genuine Caviar = Truro (True Roe)
Pan-cook rabbit town = Peterborough (Peter pan/peter rabbit and burrow=burough)
Mess behind rug = Edinburgh (anagram of beind rug) as said
The result of chinese burn = Armagh (bad joke) as said
Dagenham?= Hereford (as in here ford as mentioned before)
Left opening around september 1st = I think may be westminster (Left=West and houses of parliament opens in september i think) not too sure about that one but closest i can get so far.
for Replace your old drugs all i acn see is Newry. New=replace old and Rx is medicines so maybe Ry is the new one. again not convinced of this but closest i have.