Duck food –
U can use pretty much any dvd-copy program to copy a ps2 game. Ive used Nero 5, Nero 6, Alcohol 120%, DiscJuggler 4 , DVD decrypter and even Vob Instantcd+dvd 6.
Record now dx is ok too (never tried it), but it is used mostly to make you own ps2-cd/dvds (homebrew/emulator/realityplayer) just like cdgensps2 or sony cd/dvd generator.
Ps2 games doesnt really have any real protection (no read errors or weird tracks) So I suggest u do just as Bladezero said - make a read to a image first, so u make sure its read right). U might want to use RAW reading and DAO writing - just in case.
Remember that online games has special protection tho (DNA), so dont try to go online with a backup.
PSP 1.52 (DG), DS 001, XBOX v1.6B+Cheapmod+120GBHD, SM33, 50004+HDA10+120GBHD, SM32, BP11, 3900X, XBOX v1.6+Softmod, P4_2.666, GBASP, GBA,Celeron_700, DC, PS1, P2_300, TI85, Saturn, GBC, GBP, Megadrive, P75, Amiga 500, MS, 486SX25, Amstrad CPC464, ZX81