I already have the Countach (upgraded 26/34 to PR37) so this is what I saw:
Competition can be started within the next 9 days, to be completed in 5 days, prize 50GC at end

1. 4 Laps at Laguna Seca (standing start) - race stops when you cross the line first at the end of any lap.  Finished 1st at end of 1st lap...forgot to note R$, 2,400 fame

2. 3 Laps at Laguna Seca (standing start) - finish 1st at the end of lap 1 or 3rd at the end.  Finished 1st at end of 1st lap...R$10,150, 1,900 fame

3. 4 Laps Indianapolis Road Course (standing start) - finish 1st at the end of the 2nd lap, or 6th at the end.  Finished 1st at end of 2nd lap...R$14,250, 2,600 fame...car just going into red

4. 2 Laps Silverstone National (can't remember start) - do 6 seconds of skids and finish 12th, or straight race and finish 3rd or better.  Finished 6th on the skids option...R$4,550, 870 fame...then did other option for fun and finished 2nd...R$5,650, 1,080 fame

Reward for the day = 5GC

Obviously I don't know if the events are the same if trying to win the Countach, or if they're different!
[edit] corrected starts at Laguna Seca - sorry, forgot how far back you start there