Well, to start with the cage is way too small. A basilisk should be kept in something the size of a large closet or so, not something that can sit on a desk. The minimum for me would be in the neighborhood of 4x4x7 feet, bigger if he is a wild-caught specimin with nose rubbing issues.

Then they like a large water area for swimming and diving, and plenty of trees and things for climbing. Temps in the 70s and 80s and lots of humidity.
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A mans got to do what a mans got to do. A woman has to do what he can't.

Mom to:

1 little boy born 7/19/04
1 little girl born 2/2/06
2 male RES, born 1999
1 male lab mix, born 5/24/03
1 female calico cat, born 6/7/04