This is a common issue with bright light sources, and as noted by someone else above, it is the same issue that causes lens flare in general photography. It is just unusual for there to be this many sources of lens flare in one scene.
Interesting fact: If you draw a line between each reflection and its source, the lines all cross through the center of the lens and are roughly equal length on each side of the lens center. This will still be true if you aim the camera differently, which is why you can't actually eliminate the reflections just by moving the camera, until you've moved the house fully out of view that is.
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I suspect that, if a polarizing filter would help at all, it might have to be installed closer to the sensor. Behind the cover glass or maybe even behind the lens. It could depend on where exactly in the optical stack the light is becoming polarized (IF IT EVEN IS POLARIZED!). I'm sure an optics expert would know more, but that isn't me.