Mythology/History in Fantasies

So, I'm writing a fantasy, and I'm wondering about the use of names. I like names that have deep, mythological or historical meanings, especially if the character or place somehow is very similar to that reference. Is doing this kosher? Like, should I use the history/mythology of our world, or should I invent my own world's mythology and name characters based on that? Somehow, it seems it would make more sense that way, but it just wouldn't have the meaning that using names people are familiar with would have. As you can probably tell, I'm quite inexperienced, and need all kinds of help. So, please help!

Mmkay... I think I have found a bit of a solution. One of the main characters is named Osiris, and his life, and the meanings and depth of his character, closely follows that of Osiris in Egyptian mythology, though at a point he diverts strongly until the end of the story. And, Osiris is just a cool name.

On the other hand, I have a more minor character named Rastear, after the great human king of one of the great cities in my world. However, I have this name on a non-human, a member of a race that was actually destroyed and embarrassed by King Rastear. But the current Rastear character is in hiding, and was given the name because it is popular amongst the now dominant humans, and so, despite the embarrassment of taking the name of a public villain according to another people. Like a family from the southern U.S. naming their child Sherman (Sherman's march/pillage/rape anyone?) for the sole purpose of disguising the child as a friend, or at least not an enemy, of the post Civil War dominant North. Not tasteful, but it is used to show the intense persecution of, and the measures taken to avoid this persecution, the non-human race in my story.
I hope that makes sense... Thoughts?