well the speakers you have in the carpeted box will only play in the lower ranges of hearing, 120hz and down(although they really should be “crossed over” at 80 or so)
you have a few options to make this work, some expensive and some a little cheaper
There are two ways to get signals from your radio to the amp, line level connections, and RCA connections…few factory stereos have RCA connections, but they are the optimal way to go. If you don’t know what RCA connections are, they are the red/white plugs labeled “left” and “right” that you use to connect most electronics (VCR to TV, for instance) If your factory stereo does not have these, then you must make sure that your amp has line-level inputs…these would be connections where you could take the speaker wires going to your rear speakers and plug them directly into the amp…since these signals have been already amplified, any noise or deficiencies will be again magnified by amplifying them again…
I’m going to assume that 1)you have no RCA outputs on your factory radio, and 2)your amp DOES have line level inputs
your easiest option would be to disconnect the rear speakers, and take those wires, and run them through a coil specifially made to block out higher frequencies, then run that signal to the amp, and then run the signal from the amp to the box you just purchased…you would lose your rear stage, but in competition level systems, you have no(or very little) sound coming from the back, other than bass.
you absolutley MUST block the higher frequencies from hitting the subwoofer box you bought, those will 1)sound terrible, and 2)destroy the speakers
IF you were me, I would see if you could exchange the amp for the next model up in the series, which has a built in crossover…I would also consider buying an aftermarket CD player with RCA outputs, which you could take with you when you remover this stereo later…but that’s not absolutely necessary…
also—try mounting that subwoofer box facing the rear of the car, about 12 inches from the back…in some vehicles you will gain 3-5dB just from correct placement.
to install the amp—you will need to run a power wire to the battery…it will need a fuse holder and a fuse at the battery…you also will run a wire to tell the amp when to turn on, whether you run this to the battery, or the fusebox, you have some options there(aftermarket CD players have their own place to hook into). You will also run a ground wire to an unpainted screw that is touching the metal body of the car somewhere near where you mount the amp(probably in the trunk). The ground wire should be the same gauge as the power wire. I would use 4gauge wire, with that amp you could probably get by with 8, but I never take a chance.