Why did you chose mars ? Why not moon or maybe even Venus ? Jupiter could be nice in this time of year. Mars is booring, too much sand for my taste xD .
Jupiter emits lots of fatal radiation. It's orbit and moons are not habitable, even inside a heavily protected space station or a ship. Venus is too close to the Sun having a similar kind of radiation issue. But these kind of "escaping the Earth" scenarios are pure nonsense anyway. Even the ISS would become an orbiting grave to the astronauts when all the supply infrastructure on Earth would be destroyed and remaining governments using remaining resources trying to maintain order and find food supplies for their elites.