check ur lower arm front bush cos all that torque n braking tends to rip the weak standard bushing apart so it veers one way under power and veers the other way during braking/lift
did you threadlock the driveshaft nut? my LSD when it was 2-way high preload, used to loudly clunk clunk clunk during right turns and the shock through the shaft acts like an impact gun, loosening the driveshaft nut till the wheel bearings ruined n made whining noise = so replaced bearing and threadlocked the nut.
jack up the front right wheel and turn it both ways (the LSD has more locking effect on the RH due it its 1-sided clutch pack setup).
if urs is 2-ways you should feel abit of resistance both ways as the LSD planet driver ramps against the clutch pack and tries to resist the turning difference between both wheels.
if it feels very loose n open-diff, the preload ring could be shattered like my old ones.
and try twisting the driveshaft by hand while the wheels on the ground to check for worn outer CV joint