How to level up quickly in Skyrim?

Solution 1:

In Skyrim, it is actually counter-productive to level up quickly. While this does make you stronger, it will make your enemies stronger as well, because power level of enemies in Skyrim is usually based off your level. So leveling up isn't going to help much.

More specific to your problem, with 62 One-handed skill, your offense probably isn't your biggest problem. You probably want to level up your Armor and/or Block skill, the easiest way to do that is going to be finding something (Not a mage-type) that isn't too threatening and let it pound on you for awhile. When your health gets low, back off (or kill it), heal, then repeat.

Notably, the harder your chosen enemy hits you, the more skill you gain, so going for a bigger opponent isn't a bad idea. Just make sure it isn't strong enough to kill you with a few hits. If you're a fan of Blocking, all of the above applies, but also add in shield-bashing for doing damage.

If you have some gold handy, you could also pay a trainer to help you level up the skills you need. Considering your combat problems One-handed, Armor (whichever type you're using) and Block are going to be the ones you want to spend on.

Solution 2:

It is rather boring but..

You could wear a combination of heavy & light armour.

A shield in on hand

Restoration spell in the other.

Find a pack of wolves, Hold down block and let them hack at you, heal when you need to.

You will have block, light armour, heavy armour & restoration all levelling up fairly quickly.

Solution 3:

Horses have a ridiculous amount of health. Buy one, then grind on that. You would want to be using Healing Hands while attacking with your other hand. I hit level 38 within the first hour of doing this.