I have been playing around with my suspension settings a lot on the last couple of track days. I take it you don't have coilovers in your car with adjustable damping, if not, get some. Makes life so much more easier for dialing out understeer/oversteer, given that the balance is not way off the mark to start off with.
On Wednesday the difference between how the car handled in the morning, and how it handled midday was like chalk and cheese, and it was just in the changing of the damper settings, I didn't touch anything else. I guess this is where the joy of these things come in, cause it is just a simple adjustment to stiffen up or soften up an end of a car without having to fiddle around with other things, once the suspension settings are sorted, then can start fine tuning other things.
In the morning the car was a complete nightmare to drive, and I came close so many to wiping out it wasn't funny, in fact it was pretty scary, it would understeer, then change to oversteer part way thru a corner (no it wasn't power oversteer

), it would even try to spit me off into the wall along the straight if I took my foot off the gas. Fiddling with the settings got the oversteer dialed out, but still had cronic understeer, and then just stiffing up the rear just a little bit more and leaving the front alone made the turn in crisp and clean, with just a bit of oversteer poking it's head in part way thru the corner, and I reckon I could have got rid of that if my god damn brakes didn't give up on me again.
As for the tyre pressure, I was running 22psi cold, and that would get me up to about 30-31psi which seems to be about right for my tyres, which are Toyo R888 205/40/17