Thank you all for the information and great ideas!
I finally completed my itinerary which includes 5 days at Le Mans and 2 at Goodwood (Thursday and Sunday). If I run into any other racing event or museum in the rest of the trip I will probably take it, but if not, I will still be attending to two of the events I have seen on TV since I was a child so it will be great.
June
9 to 12 at Normandy (France)
12 to 17 at Le Mans (France)
(24 hours)
17 to 20 at Dublin (Ireland)
20 to 23 at Highlands (Scotland)
23 to 27 at Edinburgh (Scotland)
27 to 29 at York (England)
29 to 1 at Bath
July
1 to 8 at London
(Goodwood 1st and 4th day)