Burning PSX CD's
The only known way of burning PSX CD's and actually have them play on a Playstation is with a mod chip, a game enhancer, or a CD called PS-X-Change which very hard to find.
In order to make a copy of it, you need some good CD Writing Software. Adaptec/Roxio EZ-CD isn't good enough. Nero works fine, along with Blind Write, CDRwin, and Clone CD (which actually on some machines can make exact copies so no mod is required). You just have to make sure with these that you dump a raw image in .BIN format, and apply any patches necessary, then burn. If no patches necessary, just do a direct copy, but try to avoid On-the-fly copies.
As for your PC protected CD's, I am not quite sure.