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I never hear of springs on a car this recent going bad. I doubt that is the problem.
Alignment has the number one effect on tire wear, and a really off alignment will make the car handle strangely, too. The rear suspension on a B13 Sentra is toe-adjustable, and too much toe will chew up tires. A lot of toe-out on that corner could make it darty in right turns.
Knowledge about your alignment and any funny wear would tell us more about that.
On the extreme end, crash damage or a bent component (one of the parallel links or radius arm that makes up the rear suspension) will effect alignment and handling.
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