I bet that was a huge amount of fun for you.
Is there a coach/pro in the car with you during the laps, offering some driving tips and pointers? How were your lap times, and did they continue to improve?
I remember the first time I raced against the clock on a track. The first couple laps I went all out, tires screaming, understeering into, and then fishtailing out of, all the corners. To me, it felt like I was going really fast and would have produced some decent lap times.
One of the pro drivers talked to me before my next few laps to give me a few pointers. He had some great tips how my cornering could be improved on entry and exits, and how driving smoother is much faster. My lap times improved significantly with each lap, and my driving did not feel near as frantic.