Balded, Basic Robes, what else? Skills etc.

Heavy Armor for gauntlets and picking up the +hand2hand perk, perhaps Khajiit for bonus damage? A little hard to plan otherwise, but Enchant is probably a good choice.

stick with archery.

30 in heavy armour. - For gaunlet perk and damage perks for 2 or one handed which ever increases damage for unarmed

Alchemy
Restoration
Maybe invest in light armour for more speed like perks?
Speech

This needs to be moved. Perhaps.

Sword
Restoration

Why?

I think this sounds fun. I'm not too much into the unarmed character thing, but if I was...It'd have to be from the viewpoint of a monk.