Found these mysterious wires in my Z

Vaibe

I'm pretty sure they're for a previous system that an owner before me took out, can anyone help me figure out what these wires are? I'm really new to car audio so sorry if this seems like a dumb question :x

Going to update this post so people don't have to read through the entire thread. Giving a little background to my situation as well.

So here's my story, I bought this car used a few months ago and I want to put in a system now. I was told my the previous owner that I bought it from, that there may have been a previous system because the tweeters look aftermarket and there were speaker hole cutouts in the carpet. I decided to check around the car today and saw some wires and I think I've figured out what most of the wires are.

First were these wires, http://i.imgur.com/uEvPU0P.jpg, I found them in the trunk tucked away where the foam piece was and I pulled them out from the trunk and put them behind my passenger seat for now. They come from the center console, so I think they're for the Polk DB6501 components to connect to an amp, if someone can verify this that'll be great!

Then there was this, http://imgur.com/a/sgvpD which I and some other forum members believe to be the power wire. It's connected to the battery so I'm pretty sure we've got this one. Someone mentioned something about a fuse inline, do I need that?

Lastly, there was this, http://imgur.com/a/ADE02 and I believe that's the remote turn on wire that hooks up to the HU that detects if it's on and powers on the amp.