1. Do I install the outer axle seals dry or spray lithium grease, wipe bearing grease or gear oil on the mating surface?
Even though it's already got a thin layer of sealant on the outer surface of the seal, I always add some silicone sealer to make up for any imperfections (or seal puller gouges!) in the housing.
For the seal around the axle shaft, I also do what Bronco Billy said. Gear lube (but only because it's usually handy) on the seal and some on the axle shaft itself.
Any oil or lubricant should work. Even the grease you have handy. But gear lube is often right there in finger's reach inside the tube when working in this area. Or handy because you're about to put some in the axle when done.
2. Do I take the same approach with the seating surface for the axle shaft bearing?
I use grease or anti-seize. Even though you don't really need it because a little extra rusty resistance to the bearing moving over the years could be a good thing, I hate fighting a rusted-in bearing!
So yeah, I usually apply a thin layer of grease to the outer bearing shell just to keep it from rusting. Don't need it to slip the bearing in, as it's not a tight press fit or anything like that. Just for a longer life where you can remove it.
Obviously you need to be careful at that initial installation point so you don't scrape the seal surface with the axle splines or rusty, dirty pitted shaft sections either. But once it's part of the way in it's easy to keep it off the seal.
Paul