What Are or What is?: This is Driving Me Crazy

Yes, it sounds odd to me, too, but it's not actually incorrect. The question refers to two items -- name and badge number. That's why the verb being used is also in the plural. But, I agree that the singular verb would be a much more common way of phrasing it, since the two things -- name and badge number -- can be considered as a single item.

Thank you, Lustig! I'm grateful for your help.

I'm glad I found this message board otherwise I wouldn't be able to sleep tonight thinking about this. :-)