More than likely corrosion is at fault
Breakers trip because they get hot or because they get overloaded. Yes breakers do go bad which results in similar symptons in they trip immediatly or will trip as soon as they get hot.The most likely problem is a high resistance connection from the hot side to ground. Corrosion at a connection is the most likely reason for this problem. You should examine each connection for corrosion. Most boats built in 82 have copper wire that is not tinned. You need to check very carefully as this wire is prone to corrosion when exposed to salt water.For the running lights, I suggest you open each light and remove the bulb, check each wire and clean the contacts. Don't forget bulbs in the binacle or any where else that is drawing power from this circuit. The following makes some assumptions that you are comfortable working on DC circuits and that you will not come in contact with your AC circuits (my boat had a common pannel for the AC & DC before I seperated them). A safety suggestion is to disconnect your boat from all AC while you have the pannel open if you have a common pannel. A good Digital meter is under 70 bucks at Radio Shack or Home Depot and should be on your boat. Remove the wires on the breaker that connect to the running lights. Set the meter to the 10 amp current setting and put the black meter lead on the breaker tab and connect the red lead to the wire going to the lamps. With the bulbs out and the breaker on, you should read zero current.As you add each bulb you should see current equal to the rating on the bulb. A 10 watt bulb draws .88 amps. On my boat I have 10 watt bulbs fore and aft, a 3 watt bulb in the compas, a 1/2 watt pannel indicator lamp and three LEDs that are also in this circuit. Total draw is just over 2 amps. If you are drawing current with all the bulbs out, you have a path to ground through that set of wires. You should to trace out each wire and repair or replace the defective ones. Last year on my Hunter 34 I found corrosion in the stern lamp and a bare spot in the insulation where the wire comes through the deck. Another potential problem area is where the bow light wires come through the deck and enter the pulpit as well where they exit the pulpit and connect to the bow lamp. You can trouble shoot the interior lamp circuits in a similar manner. Good hunting for the problem. Calder's book on boat electrical systems is excellent.One word of caution, most hand held test meters have a 10 amp limit on the current measurement. Don't try to measure the current draw of a circuit that is kicking a 15 amp breaker.