UPDATE:
Taking the car to Honda did no good, as some of you already suggested. This receipt was all I got. They did not charge me for the diagnosis, as they "said" they could not replicate the problem after having the car for nearly a week. I picked it up last night, drove it home, and when I started it at about 4:45 this morning to go to work it started, but very reluctantly. I took several tries for the engine to turn over, and when it did, it sounded like it was running on 2 cylinders for about 20 seconds, and then sounded like it was running normal. They said that their diagnostic test showed the battery, alternator, and starter were fine. I don't really know where to start at this point, other than to check the ECM.