#1 if going heavy armor... go to the Steed Stone. It will make your armor weightless like you had the perk and also add 100 weight to your carry allowance.
#2 Absolutely viable. You might think about trying to use conjuring as much as possible so you can get to Conjure Bound Battleaxe. Chances are it will be better than most gear you find for a while... you can also upgrade it with perks to have soul stealing and banishing. Using the conjured axe will also help you lvl conjuration faster.
#3 Don't forget resto

2x fast heal (Apprentice perk) with +50% str (Regen) will quickly heal you 150 HP AND Stamina (Respite). Take it up to Adept level to 2x cast (note, NOTE dual-cast... just 2x single cast) Close Wounds for a 300 point mega heal (+stam).
#4 After getting Heavy Armor to 70 and getting the weightless perk... you may think about getting the Ritual Stone... giving you a once a day mass raise dead. It's the most thematic for your build.
Block is another important perk tree for 2handers. The left side of the tree is worthless to you... but the slow time against power attacks, and power bashing through disarming bash all work with a 2handed weapon. Take them.