Yes, your console can get banned if you are found cheating online.
Sounds like normal online playing
no ,only if you cant get online
Blue screen when playing online
You can get banned, but not everyone who does something that can get you banned is actually banned. You have to decide if it is worth it to take that chance. Im not really sure, but what would make the most sense is that you could get banned for moding online play. you should be fine moding offline though. (I really hope this is true.....)
It does not appear on the list of things that could get you banned. See related question and it's link to PlayStation Network
Yes, your console can get banned if you are found cheating online.
No they could always have viruses or you get get your ps3 banned from going online.
Sounds like normal online playing
You can play with a modified connection, but if you use it to cheat you may get banned from PSN. As long as you are connected to the internet with your PS3 you will be able to play muiltiplayer games. However using a modified connection to cheat could get your account on PSN banned as well as your PS3 banned so you will not be able to play online with it ever again.
Nope
no ,only if you cant get online
yes u can.
Yes you can be online playing the PS3 and your computer can also be online at the same time. A PS3, PC, Laptop, Xbox 360, or Nintendo Wii have all been online at the same time in some households.
Think of it this way: if you shouldn't do it, you can get banned for it.
whoever has the best connection
No, you must be at least 13 to use a PSN account. Even then you need to be 18 to create one. Playing on a PSN account under the age of 13 can result in getting banned from PSN.