You can't just pile on adapter after adapter and expect it to work.
Does your PC's graphic card explicitly support Composite (RCA) or S-Video output? Probably not. The VGA-Composite adapter you found online is designed for a specific, non-standard, VGA-shaped output. A normal VGA output signal does NOT have pins for Composite video. Or for S-Video. So don't waste time getting an S-Video cable either. Btw, even if you could get a signal the video quality from those hookups will suck.
The DVI-Component Video converter might have a chance of working, assuming it is a powered, active converter (ie it has a processing chip inside it). If it is just a passive piece, then, again, your PC's graphics card would have to explicitly support Component Video output through the DVI port. If the converter you are thinking of using is this Monoprice one
, please read the item specs carefully as it is only for specfic graphics cards. You might be able to use this powered converter
What is your TV model? What is the model of your graphics card? Does the TV have HDMI inputs on it? Does it not have a VGA input? Your best picture, signal-quality-wise, and, will be using a DVI-HDMI cable, assuming you have equipment that will support it.