About Orbital power plants. Once we get a spaceelevator, or any sort of renewable rocket, they're more viable. Still need increased efficiency (though up to 40% is possible in the lab), and transmission remains a problem; but it could work. (Note, the Falcon Heavy could in fact lay the foundation of such an installation, once the Grasshoper technology(which makes the rocket reuseable) is completely functionall ). Just for comparison. Currently, the cheapest launch cost in reach is 1000 dollar/kg, with a reusable rocket that can halve, with a space elevator it could drop below 50 dollar, at which point only the energy prices matter.
About relativistic speeds. I think if we take 0.7 c as top speed, we can get to alpha in 6 years, and it'll seem like less than 4. Completely surviveable, but also completely bonkers from an economical/energy viewpoint.
About magnetic shielding. Fairly bad at the moment. They use a lot of power, and tend to overheat/shortcircuit. And we, AFAIK, never tested one in space. Positive side is that we can use the magnetic shield as propulsion, either for fusion drive containment, or as a gigantic solar sail. Gamma and X rays are easier to shield from, and appear less frequently than charged particles.
Another note about computers, I expect the ones on a spaceship to be really outdated. Like vacuumtubes and such. Mostly because those are much better at resisting radiation and interference.