Nice, but not surprising.
About nuclear: No, just no.
First of all there's a slight difference between a nuclear submarine which can dock and refuel and where a reactor malfunction will at worst result in the death of the crew, a crew which by the way is sitting on 92.2Mt worth of nuclear warheads. The best possible outcome in case of a reactor shutdown would be no casualties. Compare that with what happens on a Mars colony. No power ->You're fucked. Any replacement parts are at least 18 months away. Everyone dies.
You're right about shipping fuel though. It's not feasible. The solution is not to ship any fuel. Photovoltaics will have to do. Think about it. No one would be insane enough to have the ship powered by a nuclear reactor during flight. There probably won't be a return trip so you can use those panels. You'll need a few more but shipping them should be doable. Bonus: Prices will be falling below 1$/W for a run of the mill system soon, so even factoring in radiation hardening, which is a given in nuclear reactors, and only a bit more than half the irradiance they should actually be cheaper. Unless you're getting it built by the Chinese you're looking at >4.5$/W for a nuclear power plant on Earth. That's excluding fuel cost and let me tell you, shipping to Mars is expensive. A few million dollars per ton just to get it into orbit, not even close to Mars. A rough estimate says 1 ton of uranium should get you about 20 years at 2MW, so around 2kW/kg. Add the rods and it's <1kW/kg. Even with current technology solar panels should get you 150W/kg on Mars. Add the reactor or life expectancy >20 years for the panels and it's not looking good. It's simply not worth dealing with the risks and complexity.
Fermi Paradox is just a discrepancy between the expected amount of life and the actual amount. According to what we know it should be far higher. Which means either the universe is a lot more dangerous than we thought it is or life and evolution aren't as easy as we think they are.
So mathematical probability isn't an argument you should be using to tell us there's no life out there.
Also going by mathematical probability Boltzmann brain wins by a very large margin.