Playing Skyrim on Dual Screen Setup

For you 1st question yes on hit effects occur during both normal and power attacks. As for your second question I believe that your target will be affected each time your weapon touches them so yes seperate effects will occur for each strike including "normal" swings with two weapons.

What works for me:

1. Favorite the weapons
2. Equip them in the proper hands
3. Assign a hotkey only to the one in the right hand

Now, only hit that hotkey when that's not already the equipped weapon, and you should get both.

If you do accidentally hit the hotkey when the weapon is equipped already, sometimes you'll end up de-equipping the left hand weapon; just hit the hotkey again to re-equip it.