The thick wires are +12power and ground red and black respectively.
The RCA's are the input for the not installed amp, of course. The blue wire with the RCA's is the remote turn-on line. I assume they are connected to the HU. That Kenwood has a "subwoofer mode" for the lone set of Line level RCA outs. Probably just a filter only deliver low freqs.
Dunno what the 2 sets of black/clear wires are for. Are they connected to anything ?? Some GP's have 4 "speakers" in the rear deck. Maybe they split a 4ch amp between the subs and the deck speakers originally.
Which makes no sense.
Also peeps use the speaker <high> level outputs and tap into them for an input source for a sub. But there are line level RCA's right there, which is a cleaner signal.
So that also makes no sense.
Maybe they run to the door speakers.
Do all the "stock" speakers work now??
What's your budget?
Get a 1.2 cu. ft. Sealed box. Throw a Dual Voice Coil 12" driver that is 2 ohms per tap in it. Spend $150 on a 2 channel amp that is a decent brand and 2 Ohm Stable...throw a 1 MFD stiffy cap on it for giggles. Call it a day.