Well I missed the part with the system description. Not a very power hungry system, I'm going with bad battery or starter. There is no way your Acura should pull that much current to start it.
A capacitor would dump its charge during starting. A diode on the power wire might work for a quick fix. Even better a diode with a cap in front of it.
I have a 3sixty.3 but its not installed yet. But I've seen other posts about the flashing light problem and they had to send it in for repair.