So, I realize that coming back to this forum that I don't really like my character that much and was wondering if I could make a new character with all the experience from this character?

why not? Just delete the old one and you should be good XD (but keep the sources)

Yep, you're allowed to! Keep the sources as Alberio said. You only get the rewards you got from missions though, so your base stats aren't added to your new base stats!