No.
The related link from the Playstation Knowledge describesHow do I connect the PlayStation 3 computer entertainment system to the Internet?
Go onto account managment and go down until you see a facebook sign
No, you cannot link different consoles' account systems with the PlayStation Network.
lala by invented the pspKen Kutaragi is known as "The Father of the PlayStation", and its successors and spinoffs, including the PlayStation 2, PlayStation Portable, and the PlayStation 3. " See related link
The Playstation 3 Backward Compatibility depends on the model number of the Playstation 3. In general for Playstation 1 games they say that the PS3 will some Playstation Format Software on the System. The related link provides detailed information by individual model
Ken Kutaragi He is known as "The Father of Playstation", and its successors and spinoffs, including the playstation 2, playstation portable, and playstation 3. see related link
The PlayStation network and knowledge center was developed to help users of the different PlayStation Products and is available at the related link
Sure the PlayStation network even has instructions and are provided in related link
You must join the Playstation Network see related link or use the one for your PS3
You never mention the problem so go to the Sony Playstation Support Network at the related link and search
The related link has a video from Playstation Network Support on connecting the PS3 see the link under How do I connect the PlayStation 3 computer entertainment system to the Internet?