Pull the heads and see if its a blown head gasket. If it is the gasket then it probably over heated so look for cracks. Get the water out quick before it rust solid
Serial numbers are best, but at least GXI, GI and model letter
Being a 2014 I'm thinking it has catalytic converters. Would need to read codes on the motor to see what the issue is. Being one beep and shut down might be fuel pump turning off, PCM sees something that is a danger
Corrosion somewhere
Remove the wires on the starter post, all of them including the ones on the 90 amp fuse. Remove the negative cable on the rear of the block and clean them all up to shinny metal.
Also pull the engine harness 10 pin connector and clean the contacts
That is the circulating water pump item 10, gaskets item 11..
I most cases the pump needs replacing
https://www.mercruiserparts.com/bam/subassembly/31844/2704/200
If the starter was not turning the motor over very fast, that would give low numbers. If your numbers are correct then you need a rebuild, need 100 just to run
Think your good so far as temp
Being on a hose cal cause things to work slower. That said, none of my boats have ever done (or at least I have never noticed) what yours is doing
Everyone has seen prices go up for wood. I was looking around at some places like HD which was selling 2x12x8 red board for $250, that's $31 a board foot. Is it really that high? Don't see how anyone would pay that for one board
In the link, its the lock pin which is not engaging. When you squeeze the handle latch, does it spring back when released? If it does then its inside the rod or lock pin. If it doesn't then might be the spring
So the fuel pump turns ON when starting the motor, but once running the pump shuts off
If that is the case then it is the diode. The diode should be at the on the green wire. Most any diode will work and can be had from a local electronics store. Get one that can handle 1.5 to 2 amps
Or...