Yes, thats the best choice amp for that sub if your going with all Kicker. The amp will see a 2 ohm load which is what ie needs.
Youll need a couple fuseholders and a battery isolator or high current relay (200 amp), in addition to the power wire, to run the 2nd battery. You could do it without the isolator but I wouldnt really recommend it.
Not sure on your wiring kit since I didnt see a brand name.
kevin