The DRZ400 isn't Fuel injected, but an EMP could still screw up the ecu. You'd have to go back to a much older bike with points to be completely EMP safe. I spent WAY too many hours tracing out a no-start issue on my old kick-start only DRZ 400 issues before I finally swapped out the ECU. Even with my full dirt-bike boots on, I bruised my foot so badly that I could barely walk for a week.^^ Suzuki DRZ 400 motorcycle in different variants is possible the only currently sold vehicle that would not be affected by an EMP.
The DRZ400 has a carb it also can have a kick starter put in if it's not an e model. You can put saddle bags on the bike and a rear rack can be put on as well. You can pay up for an oversized gas tank. The DRZ400 should be the top apocalypse bikes you should own. Very easy to work on and very reliable
Back on topic - people have already hit the high points. Lucifer's Hammer was probably the most influential, but I started off with the old Jerry Ahern "The Survivalist" series. Totally unrealistic and seriously jumped the shark a few books in, but just right to capture the imagination of a teenager in the '80s. The secondary kill chapter of The Stand was probably the biggest wake up moment.