Thermostats when they go bad usually stick in the "open" position. This means the car is slow to come up to temperature and might not ever reach the center normal place on the temp guage. It is possible to stick in the "closed" position, which would cause the motor to overheat. It sounds like your thermostat is fine. In a 2002 you could replace it as a precaution, but be sure to put in the same temp thermostat if you do. I'd leave it alone.
The radiator hoses on Honda's are generally good quality from the factory. When the car is warm you can do a simple "squeeze" test and you are looking for soft spots. Pay particular attention to the places where the hose connects to the radiator and/or motor. Also pay attention to the areas where hose has any sharp bends. The hoses on my '03 Civic with 97K miles are still in good shape.
If you opt to replace the hoses make sure to get good quality pre-shaped hoses. Cheap replacement hoses don't last nearly as long as the originals that Honda puts on at the factory. These are the hoses with "ripples" in them so they can be bent into lots of shapes. They are fine for emergency replacements, and last for a few years but not as long as the pre-shaped ones.