That'll do it. Remember to match up your RMS wattages - too much on the sub compared to the amp will result in the sub being under powered, and not performing as it should, and too much on the amp compared with the sub will result in sub being over powered and risking frying the coils, as it seems has happened. Plus, looking at those photos, might be worth upgrading the sub wiring between the amp and sub - that stuff looks rediculously small (the sub will pull anything up to about 15 to 16 amps on that amplifier, which that cable is likely rated at about 5 amps)
It's 14 gauge speaker wire, not sure what ampage it's rated for though. I actually do have a fair bit of experience with audio stuff so I know about matching wattages etc. but eventually I got sick of trying to fix this and took it to a car audio shop where the guy diagnosed it in under 5 minutes haha
