Oil pan gasket isn't a bad idea, but I rarely see them actually leak on LS engines. What does leak is the rear main seal carrier plate that's bolted to the rear of the engine. The rear main itself doesn't leak, however the carrier it's housed in does.
That repair requires unbolting and sliding the transmission back, however. I would just chuck the diff. in and roll with it as-is. Once you see how easy it is to remove, you won't mind pulling it again to do the oil pan or rear main carrier.