A question about the way my sentences are written (calling all English majors!)

Here is an example sentence. I am working on writing an article, and I am a perfectionist. The way I have written this sentence doesn’t look right, so if someone can tell me what I can do you fix it, it’d be greatly appreciated:

The girl asked three questions: “how are you?”, “what are you doing?”, and “how long before we reach our destination?”

Now, this isn’t the actual sentence, but this is an example of the format I am having trouble with. After the questions in quotes, do the commas go after the quotations like that?