我一周前刚回国， 我爸妈下周签证。 有影响吗？

i did exactly the same thing 2 years ago and my parents got visa smoothly.

they can come to US for a tour, to stay with you for couple of months, take a look on what kind of life their son is having on US. valid reason, right?

如果携签? What does that mean? To go with parents. I do not think you are allowed to get in.

I had the same concern, but it probably won't matter at all. Anyway please let you know your result.

I do not think you can go with your parents for interview together.

Best thing you can do: get your visa first, then they apply visa later. However you can be in China when your parents apply visa.