Check the sticker in the drivers door jamb. There is an AXLE slot with a 2 or 3 digit code under it. If it is 19, 18, 15 etc, its likely not a LS. If it is H9, H8, H5 etc or H92... Then ots likely an LS. If you open it up and look at the small gears in the middle of the differential, and there is a stiff S shaped spring in the middle, its an LS.
Lucas HD 80w90 is a good gear oil.
I prefer a high end oil by RedLine called heavy shockproof, but it isnt necessary on a mostly street driven rig.
Whatever you choose should be rated GL-4 or GL-5. 75w90 or 80w90 is what you need.