No, PS3 is not backward compatible with PS2 games.
No. PlayStation 3 games are not backwards-compatible with the PlayStation 2.
No as the PlayStation 3 Blu-Ray discs are too large to fit in the DVD slot on the PlayStation 2, although you can play most PlayStation 2 games on American PlayStation 3's and around 50% of PlayStation 2 games on European PlayStation 3's.
Playstation 3 can play old Playstation games, but Playstation 2 games are not compatible. You can load some playstation 2 games using the hard drive and an emulator, but not all.
no
No
no
no
no
no
you can only play playstation games on PlayStation 1, 2 and 3
NO
No, you can not.