View attachment 91915
(1) Heathrow >> Preimer Inn.
A Heathrow Express to Paddington, ( fast) then either Bakerloo line or taxi.
B Piccadilly line to Piccadilly Circus then Bakerloo line ( longer but cheaper).
( Oyster works on B and A on Bakerloo only.
View attachment 91916
Dover see Map.
Now you have services from Charring Cross and Victoria and St Pancrus.
Also not shown is a station after Charring Cross called Waterloo East.
From Premier Inn the Stn Waterloo East is next door trains to Dover additionally stop there.
Faster trains go from St Pancrus you could get there by taxi.
Avoid.... London Bridge for 2015 the trains are not stopping there.