That does not resemble what you said earlier:
The LEDs are on printed circuit board that hold 120 5mm blue LEDs. The leds are arranged so there is three in series with a resistor (see photo pcbforLEDs.png) The power each board should be using is 10.2volt and 800mA. I have total of 16 of these PCBs.
Figure out what you'll actually be using and get a schematic that reflects exactly that. (According to this, you'll need something other than 14.5V to feed them, and total power will be north of 180W.)
I'll reiterate what oswe said: You
will need some kind of filtering and regulation. A "car battery" is not just a battery; it's the battery, the alternator, and everything vibration, corrosion, cranking, poor connections, etc. a car throws at its electrical system; a 14.5V power supply on a bench is
not the same thing. I've outlined what's needed to provide reasonably clean power in an automotive environment. If you insist on continuing on this path, you may get things to work. For a while. I wouldn't bet on it, though.
As for the sketch, it'll likely do something with the array you have attached to pin 13. Not sure why you have code for pin 12 though, and I don't see anything attached to pin 2 to signal the Arduino.
NB I'd suggest get the hardware figured out. Then maybe re-broach the software thing in a more appropriate area.
Cheers!
Dirk