Re: Shore Power, Blinking Green no Red, Bayliner
You may have a bad light. Anything is possible. If the 120v outlets worked when the batteries were out, I assume you still had shore power plugged in. If you look at Bayliners troubleshooting section online, it indicates that a blinking green light means the inverter is not working. If it is an erratic blink, you might have mentioned that in your original post.
If all of your batteries are new and your starter is barely cranking over, look at the connections to the enging ground and the battery positive supply. Look for loose/corroded connections. If your batteries are new and showing 13.8v with the cables off, nothing is wrong with them. Have you bench tested your starter? If it starts cold and doesn't start when hot, could just be a bad bendix. What do you mean "I guess it had 11.5 when I shut it off"? Now if your engine isn't charging the batteries (alternator), that's a different ball of wax, but you indicated you have over 13v while running.
If you leave your boat on a trickle charger all of the time, either go with a smart charger, which shuts itself off when batteries are fully charged, or make sure you check fluid levels monthly.
Check connections, not just at the battery. Make sure batteries are fully charged. Check alternator output. Bench test starter if necessary.