Check this link to see what games need patches:
http://www.megagames.com/ps2/ps2_patches.shtml
And, no, you cant just copy a DVD game directly to a CD-R but you can use the ripping guide from the link I gave you in your previous post.
With some mod chips there is swapping required and the use of a game shark / action replay or a dvd region x disc. But the swap is very very easy. Actually, I believe the only mod chip that does not require swapping is the messiah (but I'm not 100% sure on that, there might be some other mods that are non-swap).