Ugh. Such setup discussions for unknown cars are pretty tough. However, I'll speak in generalities...
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1) Locking up right rear on breaking into right hand turns.
2) Picking up inside rear tire on turns.
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No doubt related.
First, a front-wheel-drive car picking up a rear tire is No Big Thang. They do that. The 'problem' is that the chassis is rolling over such that the available droop you have in the rear is exceeded. It is further exacerbated by the fact you have a rear sway (which you'll need) which is lifting the inside rear tire because the outside rear tire is being pushed up. That's simply the nature of the beast.
The only way to keep the inside rear tire from lifting is by increasing rollstiffness through springs and/or swaybars.
As for the brake lockup, unless that rear tire is on the ground it's gonna lock. You could add independent rear bias adjusters to compensate for it, or simply not worry about it.
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Also when I jack up the car the spirngs are no longer compressed and...drop off the spring purch.[/b]
I think you'd find if you could see it on the track that the springs are staying in place while on the track. Rmember, you have a swaybar that is pushing up on the inside rear wheel; if it's of any significant stiffness it's pushing up on the inside suspension pretty hard, keeping the spring in place.
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It also has a real fancy rear sway bar with all sorts of adjustments on that I do not know anything about.[/b]
Time to go looking for some good books on suspension setup.
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Also the car is a little loose in the rear so I do not really want to change the balance of the car to much.[/b]
GENERALLY SPEAKING, if you add some spring rate it will cure an oversteering condition as well as go a long way towards reducing body roll (and, thus, rear tire pickup)...