When the lynch mob arrives at Emily's house in the hunt for Jonah, they arrive in a brand new Chevy Silverado, but yet, earlier, when the EM pulse hit, it was stated that all modern electronics were fried.
When Johnston is standing in front of the mayor's office after losing the elections and Jake walks up to him, an election sign can be seen on the lawn. The town has little electricity and nothing to print such signs with. The signs were made before the bombs. The signs can be seen in the pilot episode.