There is water in the bilge mid-cabin and the small storage spot under
the table. The carpet is in between these. From what I can see, there
is a channel that runs under the carpeted area and these 2 are
connected.

The water in the bilge area is not much, maybe 1/2 inch (below what
triggers the pump). I don't think it is coming directly from there as
the carpet on the wall is not wet as high as the opening to the bilge
compartment.

You are right as to water splashing/rain filling the bilge. Maybe by
sucking all the water out with a vac and watching to see if it refills
it will give me a better idea. Since there is about 1/2 inch the bilge
won't take out, it is hard to see if it is refilling. There should be
no splashing as I am in a slip that is protected. The cockpit area is
covered so there could be some rain water, but it would be minimal.

To put this in context, the water system is empty because the people I
paid to winterize my boat didn't. After getting it to my slip in
spring, I went to flush out the anti-freeze and there was nothing but
water in there. It caused my faucet/shower head to break off, hot water
heater to leak, pressurzing pump to leak, a/c intake filter to break,
and shower drain inline filter to break. Originally, I thought that
this stuff leaking was the cause.