It could be that you're having alternator problems...If it isin't working properly, it won't charge the battery and won't provide constant voltage to the car's electrical system (that would cause your radio to go out). Alternator problems in Hondas with only 100,000 miles don't happen too often. The clicking you hear is just the starter Solenoid. It could be the starter, but to rule everything else out do a voltage test on the battery (12.5) and else ware.