Try setting the difficulty to the easiest setting, maybe that will help you. If you are on easy already then I would suggest going to the Arena in Oblivion with the setting on easy or casual, can't remember what they named the easiest setting, and play those fights. This will not only teach you how to fight in Oblivion and Skyrim but it will also gain you some levels so maybe with more hit points you can begin to survive longer in fights. Also the arena is a more controlled environment with at first just one opponent at a time instead of having to fight off multiple opponents all at once. Later on in the arena quests you have to take on more then one at a time however by that time hopefully you will be getting the combat more and be able to handle it like a pro! 
The arena in Oblivion is located in the Imperial City, and once in the city you can just open the map and quick travel to the Arena. Also the Arena has its very own quest line associated with it so you would be advancing in the game as you learn fighting tactics for both games.
Good luck! and I hope this helps you 