Where does my power cord end??

It was hardwired without a socket on my 2002. Assume it's the same on yours based on how you're describing it.
If it were me I'd put a socket into the boat and allow to use a standard cord going forward.

A marine 30A shore power cord could be used, cut off the female end and attach it where the current one does. Wiring wise it should just be 10 gauge wire inside the marine cable. Hot neutral ground, which in other applications would be called 10/2, but for some reason most places selling a shore power cord for this call it 10/3.

When you say a few nuts do you mean wire nuts or do you mean crimps and stainless steel nuts are holding the wire? The former isn't allowed in ABYC code.