behind your stock deck should be your oem harness. generally black is ground, red is ignition, yellow is constant. so... whenever you turn on your car your amps will turn on. is this okay for you?
Unfortunately, waaaaay wrong.
First, the wire colors your are listing are the aftermarket standard. They are not followed by ANY vehicle manufacturer that I am aware of. In a GM, you'd usually find the accessory wire as yellow (but there's more than one yellow in the harness) and the constant power wire as orange. The ground would usually be black, true; but in other makes of vehicles it might be black/green, or red, or brown, or not present at all. Red is not used behind the radio in a GM.
Second, it's a 2005 Cavalier, so it's a data bus radio. There is no accessory wire at all behind the factory head unit. There's also no Cavaliers with stock power antennas or factory amps, so there is no wire behind the head unit that will function as a remote turn-on.
To the original poster: there are two options.
1. Use a test light or multimeter to find a fuse in the vehicle fuse box that loses power when the key is switched off, and tap the remote wire onto the fuse blade. Be sure to put your own fuse onto the remote wire (a 1 amp fuse is fine).
2. Tap into the heavy brown wire under the steering column in the harness that runs from the key switch. The wires aren't all that easy to get to in a Cavalier, but it can be done if you take apart the steering column shroud. The brown wire is the key-switched accessory output. Again, you need to put your own fuse on the your remote turn-on wire.