I have an 89 accord lx (carbed) and I was wondering if I will need a new alternator for my sound system. It consists of: JVC G800 deck, infinity ref. 5 1/4 Front, Infinity ref 6 1/2 Rear, Phoenix Gold Octane 80.4 for the speaks and Phoenix Gold Octane 15.1 for the Phoenix Gold Octane 12'' subs. Total Rms wattage is 1320 peak is 2300. I have a 3 farad power acoustic cap and a dual battery setup(1 stocker 1 stinger)(yes, I realize that dual batteries are just a bigger reservoir to drain) Will this setup require a new alternator? Where can I get a strong one for cheap?

thanks