It has pretty much been covered in the responses above, but I will add some more (or maybe just restate it.)
It looks like with that Peavy mixer, you can hook up one rca device, punch one of the buttons, and send it through the master fader and to the outputs. No tone controls. You will need a connection from the mixer to the amp, which you have not described, but easiest is just 1/4 to 1/4 unbalanced, or balanced Tip-Ring-Sleeve if the amp accepts that. If you have more inputs to run, you will have to get some rca to 1/4 inch cables to make the connection to the stero mixer channels 3/4 or 5/6. I don't think that rca to balanced interconnects will get you anything, I doubt you are running more than 18 feet from the source to the mixer. You can also use channels 1 and 2 and pan them, as has been mentioned before. You will get the tone controls on these channels. For that mixer, you have a maximum of four stero devices.
Unless you have a hankering to hook up the microphone, you will get quieter performance from a real stereo preamp, and more inputs usually, than the Peavy. For example some nice Yamaha preamps are on that auction site at around 100 bucks or less, depending on which one. You will also get a really nice phono preamp in the unit if that might come into play.
It all depends on what you have already and what you really want to do.
Hey if the amp has gain controls you can just hook it up with a rca to 1/4 cable easily available - for only one input. Change the cable to change the input (what a pain that would be, but cheap !! )