You can trigger the flash to fire "manually'" by simply pressing the little "pilot lamp" that turns red when the flash is ready to fire. But that was mentioned only so that you could set up your camera on a tripod, with a long exposure, and then walk around the car firing the flash numerous times to get the whole car illuminated. You have to experiment, but something like f/8 and a 10-30 second exposure might work.
In my post I was talking about putting the flash into "Manual Mode", But that was only because I thought you were using a long PC cord to fire your flash off camera. A PC cord will not let you use ETTL and you must use the flash in manual mode. But now that I know you are using an off-camera cord, you can disregard that.
3 feet is not very long, but you should be able to get a much brighter flash exposure with some more experimentation. When using the off-camera cord, the flash behaves exactly as though it was still attached to the camera. You should have no problem using ETTL mode and getting the flash to fire a properly exposed photo.
In both you photos you used 1/13 and f/2.8 at ISO 400. That is a long, wide open exposure that will allow a lot of ambient light and it looks like the flash didn't add as much light as it could have. At your shooting distance, and at full power, the flash should have easily overexposed most of the car.
Did you use ETTL mode on the flash? That is good, but maybe the Flash Exposure Compensation (FEC) was set to something like -1 or -2? That would make the flash fire less light to let the ambient light be more dominant. Try it again, but make sure the FEC is at zero or a + factor. This is on page 14 of your manual.
If you used manual mode on the flash, you just need to use it at a higher power setting or at full power.
Good luck and let us know how the next shoot goes.
Mike