So you are only running the 1000 watt r/t ampfor your subs correct? Nothing for your mids and highs, ie running off the headunit?
First off upgrade the 8ga wire to 4ga, doesn't need to be OFC wire, CCA will work fine for the amount of power your running. You can get a brand new small kinetic battery as a secondary battery for $65 shipped or so on
ebay. Replace your primary battery with any AGM one. Do the big 3. I don't think you will need to do the alt if you do everything else, however if you go bigger or add another amp for mids/highs I would upgrade the alt.
My 66 GTO ran a stock 1 wire alt for months with just a red top optima and the big 3 pushing ~800rms with very little dimming.