Anna and I have been to England and Scotland several times both on vacation and business. You will have a wonderful time.
Some favorite spots, London, Oxford (where Anna got her Master's) The Cotswolds. Dover, Canterbury. There might be some road race tracks to visit as well.
My mom's roots are in Scotland, Dunbar on the North Sea southeast of Edinburgh where Mary, Queen of Scots hid out. Beautiful countryside and friendly people. Great to take the train up to Edinburgh from London.