My 1970's vintage OMC Cobra unexpectedly had a dead battery recently. I put a tester in series with the battery, and found that with everything off, there was a slight current. Am I right in understanding that this is a problem? I tried disconnecting the switches for the lights, prop tilt, pump, and blower; the drain remained. I see that there are two wires connected to the alternator. I pulled on them to disconnect, but they did not come loose. Can I pull harder? (Do they simply pull off?) I wondered if that is the source for the battery drain. And/or maybe the alternator is not working. How do I test that? Any suggestions? THANKS.