I'm assuming you flipped the switch on the cabinet, then tried the switches on the lights, right? It's not a three-way setup; the switch on the cabinet controls power to the lights, so if the individual light switches are off, when you flip the one on the cabinet, nothing will happen. (I'm also assuming your battery is charged or the converter is on and working.)
In mine, that switch also controlled - for some reason - the lights over the couch. I guess it was so that if you crawled in bed then realized that you left one of those on, you had a way of turning them off without leaving bed.
Check fuses, but in my B190, there was so much on each circuit that you'd notice other things not working if that was the problem.
Beyond that: Check the bulbs, check for voltage at the light as others said. Odd that both of them would be out. Perhaps pull the switch and check the wiring there, too.
1995 Airstream Classic 30' Excella 1000
2014 Ram 2500 Crew Cab with Cummins 6.7L Diesel
Sold but not forgotten: 1991 Airstream B190
Sold: 2006 F-250 6.0L Powerstroke Supercab