INTRO - Dual wielding plain (and exact same) weapons DOES work conveniently when hotkeyed, (so there has to be some programming solution for these bugs found in plain dual wielding code).
Example - Your character is dual-wielding healing spells. You have Steel Sword hotkeyed to 1, and you have two of them in your inventory. You press 1. You have a Steel Sword equipped in your right hand. You press 1 again. You have a Steel Sword equipped in your left hand. However this is the ONLY way to quickly and conveniently dual wield without having to open menus every time you wish to dual-wield weapons. Here are the bugs in detail.
BUG A - Dual wielding different weapons does not work when hotkeyd.
Example - You have Fine Steel Sword hotkey to 1. You have Steel War Axe of Fire hotkeyed to 2. Your character is dual-wielding healing spells. You press 1. Fine Steel Sword equipped in your right hand. You press 2. Steel War Axe of Fire replaces Fine Steel Sword. You press 1. You replace Steel War Axe of Fire with Fine Steel Sword. Rinse and repeat as much as you like, but the healing spell is glued to your left hand (or whatever else is in your left hand in other situations).
BUG B - Dual wielding exact same upgraded weapons does not work when hotkeyed. Example - You have Legendary Glass Sword hotkeyed to 1, and have two of them that do the exact same damage of 90 in your inventory. Your character is dual-wielding healing spells. You press 1 and equip Legendary Glass Sword. You press 1 again. You un-equip Legendary Glass Sword. You press 1 again. It does nothing. You open your favorites hotkey menu. Legendary Glass Sword no longer has a number assigned to it. Rinse and repeat, it is still impossible to do. The only way to use upgraded weapons without having to open the inventory menu is by using two different upgraded weapons, though you still have to deal with bug A.
Example - You upgrade your two old Steel Swords into Fine Steel Swords, and hotkey them to 1 again. You have a healing spell hotkeyed to 3 and press it twice for a big heal. You press 1. You have a Fine Steel Sword equipped in your right hand. You press 1 again. You have un-equipped Fine Steel Sword. You press 1 again. Nothing happens. You check your favorites menu. Fine Steel Sword no longer has the number 1 assigned to it. You re-assign Fine Steel Sword to hotkey 1. You press 1 and equip Fine Steel Sword. You press 1 again. You have un-equipped Fine Steel Sword. You press 1 again. Nothing happens.
CONCLUSION - So as you can see you are punished for upgrading your weapons or using different ones in the current version of Skyrim for the PC. Not that it is intentional, I know they didn't want it to be this way. These bugs make dual wielding more of a burden and less fun when compared to sword & shield or two-handed play-styles that never need a menu opened to equip their primary weapons. I hope these can be fixed soon, and again the solution likely lies in copying or adapting the code that makes dual wielding plain same weapons work.
MINOR BUGS
BUG A - A minor spell dual-wielding graphical bug - Sometimes, about 10-20% of the time I'd say, when I hit the healing spell twice to dual wield and double click for the large effect, I can only see my left hand casting while the right hand is nowhere to be found. The spell still works as it should, but it is strange and takes away from the presentation of the game when your hand suddenly disappears.
Thought it was a bug but solved in post #2 - When enchanting press enter after typing in the name for the new item.
BUG B - Skyrim occasionally crashes. This is a hard one to call a bug, so I would like to hear from people with top of the line computers if they have this problem as well. I usually notice this after I play for a few good hours though and could be more related to my personal hardware.
BUG C - Skyrim does not work with alt-tabbing. This also was a problem with oblivion. Perhaps it's just not meant to be alt-tabbed out of. I'm wondering if anyone here can alt tab out of it without it crashing when trying to re-enter.
In closing I have posted this to hear from other players, and hopefully from Bethesda as well, to confirm that this is in fact a problem, and that it will be addressed in a timely manner through patching on Steam...(which I didn't like at first because of steam versions being so difficult to install plugins on for Morrowind, but at least now it can offer the benefit of the game constantly being updated when patches arise). Thanks for reading! Bump this if you are experiencing the same bugs and would like to see them fixed, or write about your experiences with these bugs or other bugs you may have noticed.