If you are using SRF then be more aggressive on throttle and steering, your lap seems to smooth for my liking if you are using SRF. I can't help you if you are trying to do it without SRF as I just wanted to get these out of the way quickly without too much frustration. Will try it without SRF when I have more time.
My lap was very scruffy and focused on quick exits from corners by hard braking then fast aggressive turning and and full throttle to get out of the corners. I did a 1.04.126 on the first lap so you should aim around there and second lap you have to maintain a similar pace and get a time of around 1.03.8XX to get Gold, I got a 1.03.340 on there. My total time was 2.07.466 and it was far from perfect but it had reasonable pace consistently. This car likes getting pushed hard on corners, so test the limits more and more and as you can see from my time there is a lot that can be improved. Taking a corner slightly faster can give you a few tenths extra and becoming more aggressive through all the corners adds the time up. You can improve a lot by going full throttle on turns 3-5 and cutting the track. If you look at the videos posted on this thread, then they could help and look at their throttle inputs and braking. There's a video at the top of this page that shows someone new to using a wheel getting gold. Sector times should be for the first two from the top of my head should be around 19.5.19.9 and 39.7-40.0 to have a good chance of getting Gold.