what year NSX? there is difference in the system from 1991-1992, 1993-2001 and 2002-2005
check all fuse related to the SRS system per the manual. then
I would say that the connections to the SRS brain needs to be checked, this area because its under the a/c evaporator and is almost always moist has corroded the connections. I have seen this many times now. I have had luck unplugging the brain which is under the radio about a foot down bolted to the chassis with star bolts that suck ass to remove, you normally strip them before you can get them off. Honda put some hondabond on these bolts for some reason.... well probably didn't want people to remove them LOL. I have actually has to CUT the bolts off with a combination of SAWZAW or drills to get them out.
make sure to take the carpet out as the drilling makes bits of metal and getting the shaving out of the carpet sucks also. not saying you need to do all this but if replacing the brain your gonna have to.
to get to the brain yout dealership is gonna need to remove the dash partially to get access to the plugs, unplug them look inside you will see this white powder spray some carb and choke cleaner inside and use some q-tips to agitate the wet powder till everything is nice a clean, I normally bend the prongs just a little so that when its re-inserted they make a nice strong connection to the brain.
one more thing I would clean while your in there is the connections to the passenger airbag if you have one dep. on year. same method
remove the glovebox then you have access to the plug, unplug spray carb choke cleaner agitate the whitepowder bend prongs and plug back in.
goodluck.