Before you go down the spring/damper rabbithole, consider this a try:
For the mid corner snap oversteer, it appears to me your roll center may be too low, if your car is lowered especially in the rear. Car is transitioning to a sudden snap at the grip threshold because your rear rolls too suddenly and is not controlled. You may need to raise back the rear ride height and it will most likely improve rear slip consistency and improve snap oversteer
To me, it appears that for T1 corner, the oversteer is coming from trail braking not bleeding off enough while you're at full lock. I'm sure if roll center is your issue, that is contributing it to the oversteer happening at full lock while you are trailing off the brakes
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