I dont think the issue is your amp, either get a 2nd small battery like a 35ah or a bigger capacitor, if you are planning to go bigger than 500 watts i will suggest a 2nd battery
Capacitors and bass amps don't really add up to much more than a waste of money. Capacitors work greak for high amps because the current draw of a high amp is minimal so during high draw caps are large enought to handle the small draws of current.
A batt would work better for subs because they store a substantial bit more juice. The 35ah bat you are suggesting would be comparable to a 400farad cap. It would also prolly be cheaper than a quality 1farad cap.
Overall on such low power I think he will benifit from a larger gauge wire and the big three than anything else.
Op 50amps is pretty much the max for 8awg and you are pulling really close to that much current. This results in the wire heating up and gaining resistance. Which causes voltage differences front to back. Since the voltage is now lower in the back the amp must work harder to produce the same power, this results with an amp usually drawing 50amps trying to draw 60amps gutter straining the system. A larger wire has less beginning resistance and since it is not at it's maximum capacity it hears up alot slower if at all. And having the current avalible during peaks will help as well.
The main purpose for the big 3 I to mitigate the effects of what I was taking about above. It also eliminates the constricting small factory wires. Yes they should remain hooked up but you are adding to it eliminating the chokehold
This of a busy one lane road only so many cars can pass at one time now add another lane and you've just double that number.
Check your ground, make sure it is metal to metal not metal to paint. Be sure you are connected to the main chassis and be careful drilling holes, alway look before you drill, a gas tank is a pain to replace it is much easier to lay on the ground and look for it before drilling
Another option if your voltage drop isn't bad is to add a capacitor on your light power line I don't recommend this if your voltage is dropping below 12v as it will not help your system, by if you are only dropping .5-1.5v it should eliminate th dimming.
And lastly the first thing you should do is to check your gains and make sure you are not clipping the amp. Clipping results in larger current draws that can ruin an amp and most definitely a sub