From what I've read of the Answers In Genesis site, there's a Young Earth Creationism slant to much of what is written there.
As far as "unsolved problems" are concerned, we might note two interesting examples of what might be considered "unsolved problems":
- In 1783, astronomer John Mitchell predicted the existence of a star so massive that light could not escape its gravity. This projection would be hard to accept because its prediction could not yet be observed. However, over 200 years later, the predicted existence of such massive stars has been confirmed, as the Hubble Space Telescope has amassed evidence of the existence of Black Holes.
- The Greek astronomer Democritus predicted in the 4th century BCE that matter was composed of atoms. It took about 2,400 years for man to learn confirm their existence and learn to manipulate them.
These examples show that sometimes it takes quite some time for proof of certain theories and predictions to be realized. Simply dismissing such as "unsolved" and thus "proving" something else can be a serious mistake in judgement.