Hey, for info on burning ps2 games jump over to gamecopyworld.com's forums they have a section on ps2 which is where I learnt!
anyways here is a website with step by step tutorials depending on the program you use.
This guys website is a savior, hes a poster over at GCW. Anyways I suggest you use Stomps Record Now Max, its worked for me flawlessly and I have backed up close to 30 games for the ps2 with not 1 wasted dvd!!!!
You can dl a trial vers from their website, tho if u do plan on cracking it( which would be morally wrong ) ur gona have to dl a full vers not the trial. I use Kazaa for programs so you can get it however u need. (I am not promoting pirate software just incase any mods are wondering, im just giving information)