As for why the S2000 is in 5th gear at 80 MPH, this is likely due to the car's gearing. The S2000 has a relatively short final drive ratio, which means that the engine has to spin faster in order to achieve a given speed. This can result in the engine being in a higher gear than expected at a given speed.
If you are concerned about the engine RPM being too high, you can try shifting into a higher gear. However, this may result in the engine lugging, which can damage the engine. It is best to consult with a Honda technician to determine the best shifting points for your car.