If you haven't figured out already Distinction is the gold medal result. The Audi R8 is unlocked somewhere around cop level 12 I believe, so you will not be able to unlock this early on.
SCPD Carson Ridge Reservoir bottom middle under lake. Can be done on both "Coming in Hot" and "Guided Missle". Coming in Hot is the shorter event by over a minute, but both are easy to get gold on with ample time remaining to make a few mistakes.Hot Pursuit
SCPD East Gorge Canyon on the right in the middle. Event is "Run to the Hills" (cue Iron Maiden). You must bust every racer for gold.Interceptor
SCPD Boulder Desert on the bottom right. Event is "Limited Emission". Must bust the racer under 3:30 for gold.
Hope this saves everyone the time it took me to find each event. Please let me know if there are any issues with or improvements that can be made to this guide.