You are right on the money...you have a regulator rectifier condition. You are probably overcharging the system. Do you have a voltage gauge on cluster? Need to get that checked or test it yourself. Simple thing to do is volt meter on battery...should be around 14 to 15 volts under normal conditions. Probably need new rectifier though. This can not only be bad on your boats electronics but is a fire hazzard if voltage gets to high.
"But if serving the Lord seems undesirable to you, then choose for yourselves this day whom you will serve, whether the gods your ancestors served beyond the Euphrates, or the gods of the Amorites, in whose land you are living. But as for me and my household, we will serve the Lord.” Joshua 25:15