My answer to this question:
Discusses whether Earth life would survive if Pluto was exploded.
As you can see, I tend to believe in the Endor Holocaust.
I may note that Pluto has a mass of 0.00218 Earth, so Earth is 458.7155963 times as massive as Pluto. Geostationary orbit is 35,786 kilometers above the equator. One Astronomical Unit or AU is 149,597,870.7 kilometers. Earth is 1 AU from the Sun, and Pluto is between 29.658 and 49.305 AU from the Sun, so the distance between Earth and Pluto varies between 28.658 and 50.305 AU. Taking the closest distance between Earth and Pluto for comparison, that would be about 4,287,175,779 kilometers, which is about 119,800.3627 times geostationary orbit at 35,786 kilometers.
The density of an expanding debris field should decrease with the cube of the distance, so when the debris from Earth reaches geostationary orbit it should be about 119,800 cubed times as dense as the degris from Pluto in my answer. So the debris from Earth reaching geostationary orbit should be about 1,719,374,300,000,000 times as dense as the debris from Pluto in my answer to: https://worldbuilding.stackexchange.com/questions/151398/aliens-blew-up-pluto-so-we-would-stop-debating-whether-or-not-to-call-it-a-plane
And thus it should be much more likely to damage the space station in geostationary orbit.
Space stations in low Earth orbit are slowed by the extremely thin atmosphere hundreds of kilometers above the surface of Earth and slowly descend from their orbits, and so have to sometimes uses thrusters to boost themselves to higher orbits.
And it seems very, very, very probable to me that the explosion of Earth will move gases up to geostationary orbit which will be at least as dense as Earth's atmopshere in low Earth orbit. Thus the space station will slowly descend into regions were the gas is denser and will slow and descend faster and faster until it eventually crashes into the red hot surface of Earth.
And it seems quite possible to me that the exploding Earth will produce a gas layer at geostationary orbit which will be at least as dense as the atomsophere at the surface of the Earth. Ignoring whatever velocity that gas will have, a space station in geostationary orbit would have an orbital speed of 3.0746 kilometers per second. Running into gas with a density similar to sea level atmospheric pressure would be the equivalent of encountering sea level winds with a speed of 3.0746 kilometers per second, or 11,068.56 kilometers per hour.
And the space station would quickly heat up and vaporize like space junk reentering Earth's atmopshere.
Ash's answer says that the specified average velocity of Earth chunks of 9 kilometers per second would be less than the necessary escape velocity of 11.186 kilometers per second, and so the Earth maderial would mostly fall back to Earth. But there should be a wide range of velocities of Earth pieces, so that a significant percentage of them would be travelling at least 11.186 kilometers per second and thus eventually reach and pass geostatioary orbit. So the space station at geostationary orbit should encounter a significant density of gas and plasma particles.
Topcode said in a comment to his question that the material should deviate by 5 kilometers per second from the average speed of 9 kilometers per second. Thus the speed range would be between 4 kilometers per second and 14 kilometers per second and some of Earth's mass would definitately reach and pass geostationary orbit.
I note that at geostationary orbit the Earth should have an angular diameter of about about 33.80 degress, about 67.6 times the angular diameter of the Sun, and thus its surface would cover about 4,569.76 times the amount of the sky that the Sun did.
So if the space station received only 1/4569.76 as much energy from every square arc second of the Earth's surface as it received from each square arc second of the Sun's surface, it would receive as much energy from the Earth as it received from the Sun. Which would eventually overload the space station's cooling systems and everyone would die from the heat.
And the Earth would have just been exploded and many of the chunks would have eventually fallen back onto the Earth, and Earth would be red hot lava radiating a lot of energy into space, possibly for millennia.