Off the top of my head:
Spitfire Mk I, IWM R9616 - has a significant BoB combat history, making kills and recieving damage. Detail is on the web, worth searching. There was a good thread on the a/c at the Flypast Forum.
The RAF Museum's Defiant N1671 did not participate. It's early history is obscure, but served first with night-fighter units.
You need to get you museums right, to avoid confusion! The (Kent) 'Battle of Britain Museum' at Hawkinge is an entirely different institution to the 'RAF Museum's Battle of Britain Hall' which is the correct name for the location you've used. As Mk.V said, P7350 is with the Battle of Britain Memorial Flight, Conningsby.
The Science Museum Hurricane L1592 crash-landed at Croydon, on the 18/8/1940 (UK date style) flown by a pilot called 'Looker', and is the only surviving fabric winged Hurricane. Much of the info you are after is on the web BTW; the Science museum's website says of the Hurricane "This particular machine fought over Dunkirk and in the Battle of Britain."
http://www.ingenious.org.uk/site.asp?s=S2&DCID=1954-660
Hope that helps a bit!