I have a power acoustik neon digital capacitor with 5.0 farad
I also have a sony xplod 1 channel amplifier and 2 M.A audio speakers. Those three are all connected already but i was wondering if this will fit in my 2009 corolla s. Its an old system but its new still so it would be comaptible right?

Don’t see why not.
Not sure why you haver the two caps though.
The thing is, people get confused in the real purpose of a cap. A cap is not used to, cure or prevent dimming lights, change the way the system sounds, save the battery/alternator (all are misconceptions).
To undertsand the purpose you need to understand how they work.
A cap does it’s best to keep the voltage at a certain level, but if the voltage changes so will the cap voltage. The cap just makes the change smoother. The diming light syndrome is caused by a sudden current drop due to lack of current supply. The voltage simply follows what the current does. A cap cannot help this situation nor can it provide more power. A cap only gives what it gets.
A cap is perfect for a noisy voltage line. This is why caps are used in AC to DC power supplies as they are used to smooth out the DC ripple for a more smooth DC output.
The ONLY cure for dimming lights is a more hefty amperage source, the alternator.
The REAL powerplant of the car is the alternator. The ONLY purpose of the battery is to start the car and run the accessories with the engine off, nothing else.