Coil overs are a good upgrade, so here are my thoughts on what else you can do to make your car handle better on a typical course.

First is of course good rubber. The difference between a high treadwear average sportscar tire and a sticky performance tire is like night and day. Just as a rule of thumb, the stickiest stuff is going to have a treadwear number around 200 or lower. And the bigger the better, stick the widest rubber your rims are rated for on and hope it doesn't rub anywhere, lol.

The second is having a solid suspension and good alignment. Make sure your camber and toe, front and rear, is where it needs to be and your suspension bushings and struts are in good shape since if your wheels arn't all properly oriented your tire contact with the ground will be compromised which will reduce your traction.

When it comes to suspension mods, roll control is important. While your coil overs were a good upgrade, sway bars are also important since body roll really compromises your traction and control. You'll want to keep the car stable and solid through the turns and trasitions as much as possible without completely destroying the ride of the car assuming your racer is also your daily driver and comfort is one of your concerns.

So there is the big picture for you as you plan on trying to get good at this. If you work on your skills and work on your car, who knows, you might be able to be very competitive and have shitloads of fun while you are at it, lol.