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Yes.

But it's not that interesting or unusual. The Oort cloud doesn't really obey the plane of the solar system the way the planets or Kuiper belt do. That's why it's called a 'cloud' and not a 'belt'.

Certainly interesting, but not necessarily surprising. The Oort Cloud is roughly spherical so inclination would be expected to be isotropic overall. On average there will be less high inclination bodies (isotropic inclination has a pdf of sin(i)) but they will still exist.

Yes. It is the perfect place to host a berserker.

It has an orbital period of 3 million years, so it will be its first site of humanity.