Nope, Limewire needs java and PSP does not have it.
Yes, a cable made for the iPad will work with the iPad.
Buy it!
iPad apps are created to work on an iPad and will not work on a PC.
Get songs legitimately.
Yes.
You can search and apply for jobs on an iPad, you can use an iPad for email for work and you can get a job writing apps for an iPad. The iPad is a tool for work, but you will still have to interact with people and use regular computers as well.
Videos on websites who are Flash based won't work on the iPad.
Yes, the accessories for the first generation iPad Mini work on the second generation iPad Mini.
You must first install an application from the Limewire site in order to have downloads work on your PC.
FrostWire and LimeWire store music in your documents folder, or whatever folder you specify. Uninstalling / deleting them does not remove the files you downloaded.
You use the touch screen to operate the iPad device.