If you have a hot battery, and jump the solenoid's main cables with no response, pull the starter. Once you have it out, you can ground one of the mounts and apply battery power to the input. It should try to engage and try to jump out of your hand.
If this does not happen. Bad starter.
Why would a starter stuck in the engaged position cause a the engine to die? Well, starters are similar to generators, so in theory, if stuck and spun at high rpm, it may generate high voltage. The mpem shuts off at 18VDC to prevent electric shock at the DESS post. In turn, your engine dies.
How to test the start switch, break out the ohm meter, find the start button connector under the dash, or probe the wires with sharp meter probes. It should normally have infinate OL or high resistance. When engaged, it should have less than 2 ohms of resistance. Actuate the switch several times, in different amounts of pressure, speed, ect... You are looking for the switch to stick, or show a strange resistance reading.
Also, when the starter has problems, and the engine does not start, the mpem will give up and remove your control of it, until it is reset. I learned this when I had a dragging starter. That may be why you are not hearing the click, also, the solenoids of these boats are rather small. I can barely hear mine to begin with.
From your responses, I would order a starter from ebay. I know that is a dirty word on forums, but I have bought two new from emsglobaldirect for $65.00 shipped to my house. One has been in service for 2 years, and performs like new. The other is in my Sportster and is excellent. They also don't charge for cores.
It's weird that no-one found it strange that your boat had a lot of water in it from sitting in the rain overnight. You may need to check the floor drain/hose for leaks. You can also put the plugs in and fill the engine compartment with a water hose untill you see water coming out of the boat somewhere. Once you find where it is coming out, you will have have found where it is coming in, when it is in the water.
These things are well designed to shed large amounts of water, mine has sat through a rough storm with little to no change in the bilge. However, I do have a slow leak that I've been to lazy to find, and the boat will take on half a gallon or so from soaking overnight.
:cheers:
Ernest