It was awfully amusing about a decade ago to watch Answers in Genesis evolve from their position of "there is no Kuiper Belt of comets!!1!" through "well, there aren't but a few of them!1!!" to silence on the subject.
There's an Oort Cloud out there, Flyer. The Kuiper Belt had no known members 20 years ago, and now over a thousand are cataloged. It's just difficult to see things that are darker than coal and several billion miles away.
So no, there is no "problem" with comets.
Oh, don't spoil it for me. I really wanted him to say what he thought the "problem" was, and now you've scared him off.