Can you be tracked down by the computer you use to connect to the internet or only by IP address?
Also.
EditL If someone were to get a new computer, use it only in public wifi locations(not go to any sites that would give personal information) and lets say "download free music" as an example, would their be any chance to get tracked down to who is using the computer?
Also.
EditL If someone were to get a new computer, use it only in public wifi locations(not go to any sites that would give personal information) and lets say "download free music" as an example, would their be any chance to get tracked down to who is using the computer?