GB Lapel Badges
The picture shows a Napier car in a race in 1903. The driver and at least 5 other people have badges in their hats or lapels. Its difficult to see but maybe one of the badges is from The Automobile Club of Great Britain & Ireland which was started the same year.
Wolseley racecar from 1906. The badge in the cap most likely is a Wolseley-badge.