You will need the lsd to suit the type of diff you have, zenki=early type with small bearings/Kouki=Later type with bigger bearings.
The axles are different between the 2 types but too answer you q's yes non LSD axle will work with LSD
Although i cant tell you the difference between rebuilt OEM and TRD, but i know the OEM isnt a 2way, and it all depends on how tight the clutchs are packed. This determines the lock up effect.
Id say 2 way TRD, No questions asked. But its up too you in the long run. All the LSD do the same thing, just some are slightly different to the others.
