As docjohn says, need the model year of the car.
On OBDII equipped cars, it is common that the MIL / CEL will flash when the ECU detects misfires. Other Honda/Acura products do that. However, its not clear to me that the NSX ECU has that feature. The owners manual for the later cars has no description of a flashing CEL/MIL. Are you sure that it is not the TCS that is flashing? On the later cars it is normal for the TCS to flash when it goes active and there are lots of reasons why that may be happening - see docjohn's link.
If the TCS light is on steady, then that suggest an error in the TCS. The only way to retrieve the stored error codes in the TCS is to use the service check connector and count the blinks on the TCS light to determine the code. The procedure for using the service check connector is in the service manual along with an explanation of the error codes. If you search on the Prime Wiki you may also find the procedure. Using the service check connector will also cause the MIL to display any stored error codes in the ECU which may give you some idea as to what is going on with the ECU. If your car is OBDII then you can use a code reader to retrieve any ECU error codes.
Retrieve whatever error codes may exist in the ECU and the TCS and then proceed based upon that information.