Paladin's Mount Questions?

[Aluvial]

Does a Paladin confer his Divine Grace ability to his mount?

Outside of using the better base when considering saves, and the Aura of Courage, what other Paladin abilities does a Paladin give his mount?

Aluvial

 

[Hypersmurf]

Does a Paladin confer his Divine Grace ability to his mount?

No. Divine Grace is [Ex], so it doesn't come under Share Spells, and there's nothing else to suggest it should be transferred.

Outside of using the better base when considering saves, and the Aura of Courage, what other Paladin abilities does a Paladin give his mount?

Better hit dice, Strength, Natural Armor, and Intelligence.
Improved Evasion.
Empathic Link.
Command Creatures of its Kind.
Spell Resistance.

-Hyp.