What's your opinion on the phases of the moon? Do you believe in the bioluminescent migrating shrimp or some other theory?
I believe that the moon's phases are a combination of effects. I believe that the moon is self-luminescent, and that the luminescence is triggered, at least in part, by sunlight. The result is that the bright parts of the moon are the portions where sunlight is most intense, but the light we see is not reflected light from the sun, if that makes sense. I also think that the relative altitudes of the sun and moon change with time, which is why the sun's light sometimes falls on the part of the moon we can't see. I should probably expand this into a working model with diagrams eventually.
In your opinion, how does the core of the Earth work in an infinite flat plane model? Plate tectonics fitting together across a round earth makes sense because we know they fit together like a puzzle with each other, how does that work with FET? And seismology? How can an earthquake in Japan lead to a tsunami in the Americas? Or how do you explain that we can use seismic waves to map the interior of a round Earth?
As you can tell, I've always been much more interested in the geology of a FE model than the astronomy of it.
This is actually a really interesting question. On a spherical earth with tectonic motion, subduction is necessary. That is, in some places like the Mid-Atlantic ridge, spreading occurs, and in places like the trench off the western coast of South America, subduction occurs and the old land slides under itself, and the whole process is in perpetual repetition. However, when one looks at one of many graphical representations of the relative ages of the earth at the sea floor, there isn't any evidence of subduction.

In this image (and many others like it), red represents "younger" land, and blue the oldest. In these images, I see evidence that the continents are older than everything else, and the only thing happening as far as tectonics is
expansion. On a spherical earth, unless the sphere itself is growing, this can't happen. In an infinite plane, it's not entirely out of the question to think that the plane is ever-expanding, particularly when one notes that the overwhelming majority of this expansion appears in the southern hemidisc. Cover the lower half of this image with a hand, then the upper, and compare the amount of area that is red. Also, near the center of the disc (the north pole) the continents are still largely crunched together. Farther south near the ice rim, land masses are greatly fractured and spread widely apart.
Now, of course, this isn't my data so I take it with a grain of salt, but given that simply doing an image search for "sea floor age" (that's how I got this one) returns many, many different images all showing the same relative ages, then I consider them worth a little more salt. It isn't evidence in the empirical sense, but it's certainly compelling. I think geologists simply assume that subduction must happen because an earth that is a fixed sphere demands it, but it's not happening.