Crystal Palace Park is surrounded by houses so you wouldn't be able to see Surrey.
The Great Exhibition was held in Hyde Park in 1851. A steel and glass building was built in the park, specifically to hold the exhibits. This glass building became known as the Crystal Palace. When the exhibition was over, the 'Crystal Palace' was dismantled and re-assembled in Upper Norwood, a suburb of South London and the highest point in London, where it remained until it mysteriously burnt down in 1936. It is rumoured that it was burnt down deliberately by government agents because it would have been an easy navigation point for incoming German bombers in the expected coming war. The stone foundations of the 'Crystal Palace' still exist and there is a station and football team named after it.
Some stonework is still visible.
The "Great Exhibition" was an exhibition of technology and culture held in Hyde Park in London in 1851 for which a special glass building was constructed "The Crystal Palace". I do not see how "fought" has any relevance to the the exhibition.
There is a lot that can be done at the Crystal Palace FC website. There are stats and players lists for the soccer team, it has a team store in order to purchase products from, and it has a place to buy tickets to see the team play.
Dunsfold Park, Surrey. See http://www.dunsfoldaerodrome.com/home.asp?fdv=1 and http://en.wikipedia.org/wiki/Dunsfold#Dunsfold_Park
Chessington is a town in Greater London, England. See the related link below.
Titania's palace was on display at the Jacob's Ladder/Cheddar Gorge caves in somerset in the early 1970s. I know because I went to see it. Titania"s Palace is currently exhibited in an Amusement park or carnival-like setting in Denmark.
The Queen lives in Buckingham Palace in London. The Palace is between Hyde Park and Westminster. Other palaces in London which are home to royals are Kensington Palace and St. James' Palace. The royals don't all live in one place, they live all over England, for example The Queen also has a residence in Balmoral Castle in Scotland. But most have homes in London. I would recommend that Buckingham Palace is a must see, if you are in London.
Standing in one place you can probably see the most London landmarks from Greenwich Park as it is on a hill overlooking Docklands to the North with views towards the City of London in the West. If you walked around St James' Park you'd be able to see lots of landmarks from different places such as Horseguards Parade, Downing Street and Buckingham Palace to name only a few.
From Heathrow Airport take the Pidadilly line or better know as the London Tube to Green Park. It will take you about 45 minutes to get there depending on traffic. Once you have reached Green Park it is only a fifteen minute walk to the Buckingham Palace.
If you visited the Peace Palace in the Netherlands, you'd most likely see:
See this link.