The NAPA axle is installed. Phew! Would be easier with another set of hands.
I took it for a short test drive, and so far so good. I will check everything over again tomorrow and then go for a longer drive.
The nut on the new axle is a castle nut, and is no where near 35mm like the original one is. It's not 36mm either (which I also had). So I ended up using the old nut which is still in perfect condition.
I didn't realize a seal puller was necessary to replace the diff seal.
(I'm new at this!) So I visually inspected the existing one and chose to continue to use it.
The old diff oil looked and smelled like new regular motor oil, complete with being runny! The new 75w90 is much thicker and stunk like I expected it to.
Was a learning experience. Hopefully I don't have to do it again soon. If I do, I'll be more prepared!
Thanks everyone for your tips!
EDIT: The castle nut that came with the NAPA axle looks to be 40mm!