To be brutally honest, a week isn't that long, and the jet lag is in the wrong direction, (hence 'wiped out day 1) plus the 'historic' sites will have to be 'done'...i.e.London, forget Stratford upon Avon unless you want to see Willie's and Anne's 'cribs'(houses)...... the Globe theatre in London would be a better thing to see, plus all those palaces/castles/thames attractions. So best have a look at easy places to get to in London.

Now you may well be doing 'a-city-a-day' tour, so give us an idea what you might like to see as 'normal' tourists, then other catters can help with realistic suggestions..

PS. if you happen to wander by the armed stockade that is Downing St., home of our beloved P.M. , please wave a large 'old glory' and shout loudly, 'you sure screwed up in 1775'...
thank you and good nite (2am in morning actually)