Can I request to see my final...?

Teachers are generally not "required" to let you see a final exam, but most have no problem with showing you where your mistakes are. In your position, I would contact the instructor as soon as possible, since teachers often go out of town or take vacations themselves. Explain that you really want to know which questions you missed and why, and ask if the teacher can take a few minutes to look at the test with you. Don't say that your motive is to get yourself a higher grade, because that makes the teacher suspicious and defensive. But if you're trying to learn something, she'll probably be glad to help. Once you are going over the test, one of two possibilities will occur. Either the teacher will discover that the test was graded incorrectly, and your grade will be changed, or you will discover that you didn't do as well as you thought you would. At least, if the second turns out to be the case, you will be able to put the matter to rest and you won't spend the summer stressing about possibly having been cheated out of your grade.