Can you check voltage at the light fixture itself?
When you say switches some lights have a remote switch mounted in the wall or a cabinet panel and also have a switch on the fixture. I assume you've checked all of those.
Since one of them works, I wouldn't think that it's the safety switch, but it probably wouldn't hurt to check it to make sure it's not stuck depressed.
Salem 29RKSS Pushing a GMC Sierra 2500HD!
Gotta go campin!